MULTIPLE PERIODIC SOLUTIONS TO A MICHAELIS-MENTEN-TYPE PREDATOR-PREY SYSTEM WITH DELAY AND HARVESTING
摘要
In this paper,the existence of eight periodic solutions to a Michaelis-Menten-type predator-prey system with delay and harvesting in patch environment is established using the analytical techniques and Mawhin’s coincidence degree theory.
参考文献7
-
1Aziz-Alaoui,M.A,Okiye,M.D.Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes[].Applied Mathematics Letters.2003
-
2W. Ko,K. Ryu.Qualitative analysis of a predator-prey model with Holling type II functional response incorporating a prey refuge[].Journal of Differential Equations.2006
-
3T. Lindstrom.Global stability of a model for competing predators:an extension of the Ardito & Ricciardi Lyapunov function[].Nonlinear Analysis.2000
-
4AF Nindjin,MA Aziz-Alaoui,M Cadivel.Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with time delay[].Nonlinear Analysis Real World Applications.2006
-
5K.Zhao,,Y.Li.Four positive periodic solutions to two species parasitical system with harvesting terms[].Comput-ers&Mathematics with Applications.2010
-
6Wei Feng-ying.Existence of multiple positive periodic solutions to a periodic predator-prey system with harvesting terms andHolling III type functional response[].Commun Nonlinear Sci Numer Simulat.2011
-
7R.K.Upadhyay,S.R.K.Iyengar.Effect of seasonality on the dynamics of2and3species prey-predator systems[].Nonlinear AnalRWA.2005
-
1Wu Xiaofei.EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS TO A HIGHER DIMENSIONAL PERIODIC SYSTEM WITH DELAY[J].Annals of Differential Equations,2008,24(4):419-426.
-
2Fengying Wei,Juanfeng Liu.EXISTENCE OF MULTIPLE PERIODIC SOLUTIONS TO THREE-SPECIES DELAYED LOTKA-VOLTERRA MODEL WITH DISPERSION AND HARVESTING[J].Annals of Differential Equations,2012,28(2):234-241.
-
3余沛,苟清明.具有Michaelis-Menten类型功能反应的3种群捕食者-食饵时滞系统的持久性[J].四川师范大学学报(自然科学版),2006,29(4):420-423. 被引量:2
-
4张群英,周桦,侯燕,林支桂.具有Michaelis-Menten响应函数的3种群捕食模型[J].扬州大学学报(自然科学版),2004,7(2):6-9. 被引量:4
-
5张晓朋,白玉真.具有收获率和Michaelis-Menten功能性反应的捕食系统的稳定性和Hopf分支[J].曲阜师范大学学报(自然科学版),2011,37(3):21-25. 被引量:3
-
6邢春波,桂占吉.具有Michaelis-Menten类型功能反应的捕食与被捕食脉时滞冲微分方程的周期解的存在性(英文)[J].海南师范大学学报(自然科学版),2008,21(3):240-245.
-
7刘华祥,曾广洪.一类具Michaelis-Menten功能反应的时滞比率依赖捕食-被捕食模型的一致持久性和周期解[J].南昌大学学报(理科版),2014,38(1):24-30.
-
8张申贵.Multiple Periodic Solutions for a Class of Fourth-order Difference Systems[J].Chinese Quarterly Journal of Mathematics,2016,31(3):260-268.
-
9WANG Juan,HE Junjie,SHI Xiangyun.Selecting harvesting in a predator-prey system with stage structure for prey[J].商丘师范学院学报,2009,25(12):12-15.
-
10Xinyi Chen.T-PERIODIC SOLUTION TO A TIME DELAY LINARD’S EQUATION[J].Annals of Differential Equations,2010,26(2):144-146.