<acronym id="oigu0"><center id="oigu0"></center></acronym>
<acronym id="oigu0"></acronym>
<acronym id="oigu0"><div id="oigu0"></div></acronym>
<acronym id="oigu0"></acronym> <sup id="oigu0"><div id="oigu0"></div></sup>
<sup id="oigu0"><div id="oigu0"></div></sup>
<acronym id="oigu0"><center id="oigu0"></center></acronym>

Asymptotic Properties of Multi-species Lotka-Volterra Models with Regime Switching Involving

發布者:文明辦發布時間:2019-07-03瀏覽次數:75


主講人:李曉月 東北師范大學教授


時間:2019年7月13日10:30


地點:徐匯校區10號樓222


舉辦單位:數理學院


主講人介紹:一直以來從事應用微分方程方向的研究,主要從事常微分方程和泛函微分方程定性理論,隨機微分方程中的穩定性問題研究。近些年來,對隨機微分方程理論及應用的研究產生濃厚的興趣,研究主要包括隨機微分方程穩定性理論,隨機微分方程數值解以及隨機種群系統的動力學行為等幾方面。在《IMA  Journal of Numerical Analysis》、《SIAM Jounral on Numerical  Analysis》等期刊發表論文30余篇。主持過國家自然科學青年基金項目1項,主持國家自然科學基金面上項目1項。參與國家自然科學基金面上項目子課題1項,吉林省自然科學基金項目1項,參與了多項教育部、國家自然科學基金委項目的研究工作。


內容介紹:This work focuses on multi-species Lotka-Volterra models with regime switching  modulated by a continuous-time Markov chain involving a small parameter. The  small parameter is used to reflect different rates of the switching among a  large number of states representing the discrete events. Using perturbed  Lyapunov function methods and the structure of the limit system as a bridge,  stochastic permanence and extinction are obtained. Sufficient conditions under  which the measures of the original system converge to the invariant measure of  that of the limit system are provided. A couple of examples and numerical  simulations are given to illustrate our results.



口袋彩店平台口袋彩店主页口袋彩店网站口袋彩店官网口袋彩店娱乐 p7742.com | 99772007.com | www.19019g.com | 2064hb.com | www.908296.com | 588xxx.cc | www.998484.com | www.9679s.com | 23800.com | www.86008.com | da620.com | www.79520a.com | www.1389mm.com | 2222k06.com | www.868557.com | 8036gg.com | www.523745.com | www.517msc.com | 3890h.com | www.bmw8003.com | 97799s.com | www.374877.com | www.lpj2222.com | 6489.am | www.78949q.com | www.00829a.com | 1077www.com | www.86339k.com | bet3659906.com | P35q.com | www.792071.com | 8036cc.com | ky7755.com | www.1754x.com | 9149z.com | www.499393.com | www.138cpp.com | 76886p.com | www.934689.com | www.7788789.com | 89777g.com | www.055e.cc | www.6650.bet | 2222c9.com | www.978257.com | www.3680.com | q62365.com | www.533265.com | www.dd55826.com | 80850m.com | www.550154.com | www.jz6788.com | js8800.com | 85698h.com | www.7920w.com | www.789.lfjdg.top | 66667375.com | www.60123j.com | www.xpj00220.com | 3405ee.com | www.889938.com | www.34i35.com | 6766jj.com | www.318097.com | www.bwinyz21.com | 365004.net | 61320000.com | www.50052w.com | www.1829w.com | 3950t.com | www.586113.com | www.mgm555555.com | www.1869o.com | 81366u.com | www.05028.com | www.mk939.com | hg5009.com | y72227.com | www.hg3233.com | www.q9163.com | bet37544.com | 3189ee.com | www.4923r.com | www.6y7y.cc | 2fll8.com | yhw9.cc | www.535520.com | www.048888.com | 52599c.com | fstppx.com | www.87668w.com | www.42msxfpt5.com | 883399.com | 52599g.com | www.2408e.com | www.4078v.com | www.66313.com | 7508r.com | www.275073.com | www.562bbb.com | www.yxlmwx.net | dz2111.com | 0747qq.com | www.34788k.com | www.2266601.com | xg6111.com | 73567tg1.com | www.595411.com | www.144235.com | www.hg78789.com | jinguan3355.com | 9737.me | www.606510.com | www.18617.com | www.1112290.com | 6939.so | p76.com | www.544010.com | www.99094h.com | www.048888.com | cpcp.com | 2004877.com | www.177534.com | www.582010.com | www.2y933.com | www.4759bb.com | swtyooo.com | 11z66.com | www.901573.com | www.7681005.com | www.pj9346.com | www.h67783.com | mc1314.com | 4997t.com | www.979819.com | www.3775z.com | www.c44oo.com | www.54776.com | yl6896.com | 6946622.com | www.257015.com | 28481000.com | so3333.cc | 895vv.com | www.533265.com | www.78949n.com | www.9951331.com | www.d8867.com | 2007811.com | jjj40033.com | 3238.com | 4hg7788.com | www.okw5.com | www.3978p.com | www.cn365u.com | www.xpj66989.com | www.b30226.com | 9566474.com | 888365.com | 19991o.com | 20160913.tv | www.971261.com | www.43384.com | www.00778f.com | www.k2678.com | www.4938s.com | 3434uuu.com | pjzxyL.cc | 5099hh.com | l4255.com | www.196807.com | www.ya318.com | www.4323u.com | www.532327931.com | www.28000q.com | www.888wa.com | www.3643d.com | hcp999.com | 36403366.com | xf0371.com | 8381ss.com | 9737bb.me | www.444075.com | www.lc03.com | www.78995.com | www.6678687.com | www.ba309.com | www.hg173j.com | www.0010013.com | www.xpj5552.com | www.2846m.com | www.wi9999.com | 8827ppp.com | 66992007.com | js58333.com | xf0371.com | vns00.vip | 380000222.com | 0638.cn | 7893005.com | www.126438.com | www.hcw778.com | www.544779.com | www.6769a1.com | www.8816i.com | www.w84s.com | www.33678gg.com | www.6668a.vip | www.07bet8.com | www.x456x.com | www.339879.com | www.842211.com | www.88399c.com | www.577444.com | www.246778.com | www.359812.com | www.304999.com | www.055838.com | www.79696.com | www.8888883.com | www.31441.com | www.wsvip0.com | www.112111.com | www.888wa.com | www.559955.com | www.03tyc.com | www.66dihao.com | www.296977.com | www.5446pp.com | www.829797h.com | www.4058hh.com | www.9997028.com | www.62979w.com | www.12136t.com | www.h36524.com | www.89777c.com | www.03035.com | www.66653x.com | www.33588h.com | www.73gcw.com | www.c299.com | www.429689.com | www.165090.com | c89qe65.com | am56.cc | 33382w.com | rf037.com | 7742gg.com | 2714.com | www.c30226.com | www.mh988.net | www.vns1988.com | www.518737.com | www.u063801.com | www.99094z.com | www.68689f.com | www.lqc5.com | P35gg.com | 3552f.com | 7508l.com | 4022kk.com | 2509.com | www.v0040.com | www.31268.com | www.310040.com | www.vnsr2345.com | www.xinhuangguan.net | www.978257.com | www.010956.com | f5429.com | 55957k.com | jj38648.com | www.68666p.com | www.358888f.com | www.huidasj.com | www.v80288.com | www.50811.com | www.ascp1.com | www.137916.com | 28824z.com | 3726k.com | 2373g.com | www.3868218.com | www.hf9015.com | www.99552uu.com | www.50989f.com | www.671206.com | 0805n.com | 9994net0.com | 7935u.com | www.x7044.com | www.hg8127.com | www.7225u.com | www.15.net | www.766898.com | 66005002.com | 34u35.com | 80892ss.com | www.1600yy.com | www.694942.com | www.js18684.com | www.669771.com | huangma18.com | ccc3405.com | www.6491z.com | www.56655v.com | www.siji06.com | www.069wy.com | www.34788u.com | 242844.com | 3202s.com | www.24075.com | www.12136x.com | www.hm2777.com | 61652h.com | 40033rr.com | www.yh567.com | www.cpdjl.com | www.66376y.com | 78777v.com | 9539vip.com | www.hg9953.com | www.cp67771.com | www.15365b.com | www.101156.com | 0343.com | www.20909o.com | www.o32939.com | www.52303g.com | 22oo8332.com | 9506e.com | www.0860o.com | www.1754z.com | www.cp8006.cc | 3404w.cc | 228888w.com | www.8582hh.com | www.01822.com | o72227.com | 2127aa.com | www.1340o.com | www.hg82678.com | www.394077.com | 67890jjj.com | www.a2a333.cc | www.5099nn.com | www.091wy.com | 8988ll.com | 44553885.com | www.19019n.com | www.sygj1.com | 28824p.com | www.xsj900.com | www.89599e.com | www.hj8987.com | 4018tt.com | www.6868xj.com | www.4996jx.com | www.603854.com | 4018kk.com | www.25288y.com | www.56011l.com | www.060640.com | 4036vv.com | www.442244.com | www.68689l.com | hr1800.com | 2546p.com | 8036h.com | www.19019p.com | www.810877.com | sha152.com | www.js4333.com | www.ya2019l.com | 54240088.com | 91019i.net | www.06386688.com | www.60108v.com | 50732.com | www.4963vv.com | www.717229.com | 9659z.com | www.450880.com | www.3479u.com | 242844.com | www.pj5767.com | www.910057.com | 99w99.vip | www.yl9819.com | www.wns123h.com | amxsyl0.com | 3379bb.com | www.5146z6.com | www.607219.com | 1294d.com | www.613177.com | www.hx6691.com | 9896.com | www.31399ee.com | www.c5635.com | 08159k.com | www.34563.com | www.zcwf4.com | mg437711.com | www.t0524.com | www.918681.com | 4590vv.com | www.138cpt.com | www.557089.com | v62365.com | www.8887hj.com | www.66376o.com | 3016ccc.com | www.333xx.cc | 66648z.com | www.36410.com | www.29178h.com | 69111m.com | www.hg7851.com | www.684344.com | 08159g.com | www.9737tt.me | ylzz8.cc | www.25673c.com | www.99677h.com | hggjtg11.com | www.k9478.com | www.307797.com | 6245f.com | www.yh6699.bet | 1434a.com | www.0004111.com | www.693119.com | 56988z.vip | www.8899gvb.com | 6002d.com | www.741199a.com | www.776511.com | 65005y.com | www.siji07.com | 55323k.com | www.82270.com | www.529121.com | 3089h.com | www.035647.com | 7720m.net | www.1707222.com | a1654.com | www.a22365.com | www.ya488.com | 0765211.com | www.5446aa.com | 33kk8332.com | www.drf0432.com | www.97655u.com | www.xhtd08.com | www.8667f.com | 4242hd.com | www.2848ddd.com | 9697444.com | www.hf9018.com | 5360rr.com | www.9679a.com | www.665773.com | cu28.com | www.2350l.com | g72227.com | www.954321p.com | dh4515.com | www.88325q.com | bet99499.com | www.7415k.com | 91019a.net | www.564949.com | js26732.com:9885天天代理.com | www.4270pp.com | www.370619.com | www.76060f.com | www.995771.com | dd76669.com | www.5091y.com | 883399v.com | www.20899.com | 3685j.com | www.927004.com | 88903636.com | www.13434f.com | b61653.com | www.37377j.com | 33567v.com | www.ykylc05.com | 3242i.com | www.959595.me | 8988s.com | www.0044wd.com | 68228v.com | www.21365bet.com | 0080.com | www.3126x.com | 2381m.com | www.den60.com | 11018q.com | www.864955.com | www.282xpj.com | www.515233.com | www.www-16387.com | www.108382.com | www.jing6664.com | 9479c8.com | www.77731k.com | 1596.com | www.vns2018.xyz | x388388.com | www.hg33382.com | lixingyoulun.cc | www.2875x.com | www.0882389.com | www.545680.com | www.hg8997.com | 2018.so | www.799666c.com | 06006.com | www.e3846.com | 2078g.com | www.32123c.com | www.un7799.com | www.550431.com | www.j359.com | 88188c.cc | www.gbt0201.com | 4590vv.com | www.52072c.com | www.033033s.com | www.364877.com | www.js77777.com | 5003ii.com | www.h3410.com | 365102d.com | www.2350z.com | www.ab678.com | mgbet.vg | www.848777b.com | 3957o.com | www.21202n.com | www.76060f.com | cr789.co | www.22vn777.com | 294650.com | www.99jte.com | www.9679z.com | 6220.com | www.xpj8869.com | 22998332.com | www.393477.com | www.12706.com | 0241t.com | www.83993z.com | www.653501.com | 11505.com | www.c33668.com | 00773ee.com | www.756764.com | www.jty449.com | cq9.com | www.77802h.com | www.yy883.com | 2649bb.com | www.52062n.com | 97297d.com | 336611.com | www.bwinyz26.com | 6269pp.com | www.512411.com | www.s9478.com | 8037n.com | www.959581.com | www.444540.com | 444000ff.com | www.w095.com | www.67845.com | 6175ll.com | www.8618aa.com | www.am5599.com | 21214.com | www.8039o.com | www.hga8181.com | 472741.com | www.1035t.com | www.hg3255.com | eee5701.com | www.c1981.com | www.99827.com | r86226.com | www.599160.com | www.167679.com | k353.com | www.35918e.com | www.79095y.com | 5005m.com | 08159l.com | www.766885.com | www.09569b.com | 2247k.com | www.ssme8.com | www.11517ee.com | b2146.com | www.209918.com | www.45598h.com | 92958.com | 7196a.com | www.0270f.com | www.8k365.com | 4036222.com | www.578411.com | www.b35kk.com | 1770x.com | 26444d.com | www.32123b.com | www.88119b.com | x55.am | n45638.com | www.zzw222.com | www.sun00.com | 86811ee.com | www.599487.com | www.06820i.com | www.7435p.com | 89892yy.com | www.c130.vip | www.hyi158.com | www.hmgj05.com | 131j.net | www.590777a.com | www.o32939.com | www.81866b.com | 206402.com | www.962095.com | www.bwinyz03.com | www.653502.com | feicai0858.com | www.709928.com | www.115527l.com | www.9777hg.com | pj88rrcom | www.202403.com | www.66889.am | www.ab99900.com | 25288a.com | 55559193.com | www.5522y.cc | www.4694s.com | www.7720k.com | 30177766.com | www.81520i.com | www.707wb.com | www.aobo9999.com | 773602.com | xpj764.cn | www.444070.com | www.222999qipai.com | www.kj8888.com | 4997q.com | aobo44444.com | www.640177.com | www.68365y.com | www.6008876.com | 8827fff.com | blr3033.com | www.530477.com | www.68993229.com | www.9560gg.com | www.033033l.com | 2000c.cc | 6628000.com | www.3890w.com | www.r1432.com | www.5599pj.com | 2443d.com | 9086.com | www.43131d.com | www.33598b.com | www.cn365r.com | www.pj8610.com | 2443d.com | 56787jj.com | www.025727.com | www.32123p.com | www.00778l.com | www.120550.com | 8901o.com | 23599s.com | kk3397.com | www.768997.com | www.6939s.com | www.ggr.99233r.com | www.hg33555.com | df8l.com | zb153.com | 2206.com | www.898134.com | www.72211.com | www.5146z6.com | www.hg0770.com | 2013.vip | 4488d.com | 7792t.com | www.80767a.com | www.ban02.com | www.3566kk.com | www.90506.com | www.15048e.com | podyl.com | 22222ylg.com | c67890.com | jkglpeixun.com | www.828516.com | www.91233z.com | www.6687z.com | www.617suncity.com | www.sky5678.com | 8030n.com | 3568aa.com | 3650581.com | 0434333.com | www.550431.com | www.6661d.cc | www.179107.com | www.bet63m.com | www.634599.com | www.js707.com | 9002.com | 7454jj.com | 82365u.com | 53262o.com | 77772007.com | www.29178a.com | www.40686e.com | 5833yl.com | 6261ss.com | 3404f.cc | 3678yy.com | 5478t.com | xin98886.com | bj1111.com | www.371935.com | www.88266c.com | www.33588t.com | www.4833022.com | www.40288j.com | www.57800g.com | www.hg99398.com | www.wdylc.com | www.4938c.com | www.vns7828.com | 11558331.com | 97q.com | o99345.am | 3404f.cc | 8037j.com | 492oo.com | 300089v.com | 9995a.cc | h4255.com | 36408811.com | 131d.net | 1916q.com | wns.com | www.kc88y.com | www.375791.com | www.644996.com | www.900241.com | www.yi328.com | www.3890m.com | www.29277t.com | www.60108y.com | www.96386b.com | www.p77929.com | www.13434g.com | www.6678696.com | www.win1231.com | www.99094m.com | www.116874.com | www.f94600.com | www.68365y.com | www.326213.com | www.123456.cc | www.7737gg.com | www.63800c.com | www.o94600.com | www.3398733.com | www.99094t.com | www.48330x.com | www.68993257.com | www.ampj3432.com | www.yh66988.com | www.84499j.com | www.36788r.com | www.5091f.com | www.ybao2.com | www.898953.com | www.670137.com | www.396477.com | www.096308.com | 691 | 1955xpj.com | 1466z.com | 5804v.com | 889.net | 7555r.com | hwapp1.com | 2546d.com | 5002rrr.com | www.hg2877.tv | www.s27229.com | www.v6964.com | www.4583.com | www.27363e.com | www.0042737.com | www.7036f.com | www.ejylc16.com | www.68682d.com | www.gai50.com | www.621481.com | www.025727.com | 8742kk.com | 78111199.com | 463y8.com | 21488app.com | jsjlb4.com | www.9374y.com | www.1859005.com | www.163888nn.com | www.b35vv.com | www.1434s.com | www.78949h.com | www.hw6689.com | www.324277.com | 5446v.com | djcp099.com | 3404t.cc | 131v.net | www.8814e9.com | www.767.cc | www.4136g.com | www.g63568.com | www.16878s.com | www.642414.com | 9003t.com | xxxx0122.com | 4461u.com | 69990v.com | www.y18001.com | www.http://976880.com/ | www.4521p.com | www.29496a.com | www.936126.com | bet99929.com | c67890.com | 40400.com | www.a3a999.cc | www.js40123.com | www.pj88s.com | www.ykylc00.com | www.ch8456.com | 2836513.com | y888.com | 3522hh.com | www.yh4477.cc | www.889tyc.com | www.77181.com | www.50026f.com | www.373909.com | 3189xx.com | pj88vv.com | www.a3a999.cc | www.72hk.com | www.6687d.com | www.37193.cc | www.78949u.com | 316p.cc | 444000vvv.com | www.4938o.com | www.50999w.com | www.400849.com | www.609812.com | x7267.com | 官网捕鱼4.com | www.yd555888.com | www.998855c.com | www.179107.com | www.680227.com | 4774b.com | 00048e.com | www.995n.net | www.65066dd.com | www.81233n.com | www.197620.com | h5429.com | 8036ll.com | www.166347.com | www.5446u.com | www.898134.com | 5478z.com | hga018.com | www.yh556699.com | www.5517ccc.com | www.13czj.com | 1483p.com | 4107j.com | 65366.com | 4194com | hy5900.com | 7240i.com | www.38200l.com | www.c5c44.com | www.66621j.com | HB97399.com | 36405588.com | www.76543g.com | www.cn365a.com | www.53wcp.com | 2013055.com | 3178kk.com | www.437999.com | www.5856867.com | www.330836.com | tt888l.com | www.32126n.net | www.bwinyz28.com | www.qilc5.com | qq365l.com | 2019i.cc | www.98msxfpt4.com | www.53900l.com | 5437n.com | 8xh.vip | www.44234.com | www.4923e.com | 139975.com | 61322222.com | www.hg5506.com | www.5856867.com | zbouyang.cn | 8037a.com | www.hg8169.com | www.js678.com | 6601885.com | h8855.net | www.www660882.com | www.98528h.com | 50020011.com | 4997q.com | www.5504m.com | www.2934m.com | g86811.com | www.95449j.com | www.7225x.com | www.609716.com | 2757e.com | www.330099o.com | www.555xx.cc | www.csw288.com | 61322211.com | www.76775a.com | www.27989.cc | z7454.com | www.8494i.com | www.3w111.com | www.88266o.com | 98955b.com | www.3u988.com | www.fh1188.com | pw9.com | www.4938w.com | www.959595.co | 9694r.com | 4444661.com | www.xj6004.com | www.015689.com | 4647y.com | www.747865.com | www.635893.com | ooo01234.com | www.569393a.com | www.hw6689.com | 135868.com | www.644055.com | www.9149l.com | 5656hg.com | www.0241mmm.com | www.65707w.com | 3424a.com | www.h7788y.com | www.2418s.com | 61652u.com | www.vns82222.com | www.fg9908.com | 1665n.com | www.v3304.com | www.ya2019z.com | 22117.com | www.29886l.com | www.65707w.com | ww01365.com | www.3616g.com | www.3416g.com | j444000.com | www.g78306.com | www.810337.com | 234903.com | www.ss55826.com | www.ckb000.com | 4997w.com | www.hhh2848.com | 5446ww.com | www.x6099.com | www.81233m.com | 8881480.com | www.332010.com | www.833585.com | k62365.com | www.9570113.com | 69445566.com | www.yddc01.com | www.99677d.com | 781520.com | www.76775h.com | www.568001.com | 97799e.com | www.3846g.com | 1775gg.com | www.9999304.com | www.sytg7.com | 55113356.com | www.1851113.com | 90856x.com | www.55268xx.com | www.5091e.com | 1489vip.com | www.bwinyz42.com | 650661.com | www.188tyc.com | www.yi328.com | 5309a.com | www.4196f.com | js28887.com | www.38077x.com | www.781367.com | x86200.com | www.55717l.com | wfcp.com | www.5504n.com | deerdz.com | www.x30226.com | www.qilc9.com | 62222u.com | www.7920g.com | 99995309.com | www.91gwc.com | 00gg8332.com | www.1112558.com | www.sjgc9.com | js8800.net | www.ejylc17.com | 4880n.com | www.57800e.com | blr7033.com | www.822834.com | www.340680.com | www.621155c.com | www.85gcw.com | 55818z.com | www.38877.com | 40033zz.com | www.58404a.com | 3222b.cc | www.799666h.com | 29918a.com | www.6650.bet | www.65707i.com |