Analysis of a Non-Autonomous Eco-Epidemiological Model with Epidemic in the Predator
|更新时间:2026-09-14
|
Analysis of a Non-Autonomous Eco-Epidemiological Model with Epidemic in the Predator
一类捕食者染病的非自治生态流行病模型研究
Vol. 34, Issue 2, Pages: 103-108(2013)
作者机构:
1. 赣南师范学院 数学与计算机科学学院
2. 江西省数值模拟与仿真技术重点实验室
作者简介:
基金信息:
DOI:
CLC:
Published:2013
稿件说明:
移动端阅览
张艳, 刘颖芬. Analysis of a Non-Autonomous Eco-Epidemiological Model with Epidemic in the Predator[J]. 2013, 34(2): 103-108.
DOI:
张艳, 刘颖芬. Analysis of a Non-Autonomous Eco-Epidemiological Model with Epidemic in the Predator[J]. 2013, 34(2): 103-108.DOI:
Analysis of a Non-Autonomous Eco-Epidemiological Model with Epidemic in the Predator
摘要
建立并分析了一类疾病在捕食者中传播的非自治生态流行病模型.借助一种新的方法
在非常弱的条件下给出了捕食-食饵种群持久和灭绝的充分条件.同时
给出了周期系统中种群持久和灭绝的条件.
Abstract
A strengthened non-autonomous eco-epidemiological model with disease in the predator was proposed and analyzed.Under quite weak assumptions
some sufficient conditions for the permanence and extinction of the predator-prey population were obtained by a new method.Moreover
when the system degenerates into a periodic system
the conditions for permanence and extinction were also discussed.
关键词
Keywords
references
Liu Xuanliang.Bifurcation of an eco-epidemiologicalmodel with a nonlinear incidence rate[J].AppliedMathematics and Computation,2011,218(5):2300.
Shi Xiangyun.Stability and Hopf bifurcation analysisof an eco-epidemic model with a stage structure[J].Nonlinear Analysis:Theory,Methods&Applications,2011,74(4):1088-1106.
Chakraborty S,Pal S,Bairagi N.Dynamics of a ratio-dependent eco-epidemiological system with preyharvesting[J].Nonlinear Analysis:Real WorldApplications,2010,11(3):1862-1877.
王建军.具有饱和发生率的SIR模型的持久性和稳定性[J].中北大学学报,2008,29(6):479-485.Wang Jianjun.Analysis of permanence and stabilityfor SIR model with saturation incidence[J].Journal ofNorth University of China,2008,29(6):479-485.(in Chinese)
李佳斌,李文龙,李自珍,等.强身作用下捕食者染病的生态流行病模型的动力学研究[J].兰州大学学报(自然科学版),2010(6):80-85.Li Jiabin,Li Wenlong,Li Zizhen,et al.Dynamics ofstrengthened eco-epidemiological model for diseasedpredators[J].Journal of Lanzhou University(NaturalSciences),2010(6):80-85.(in Chinese)
Chatterjee S,Chattopadhyay J.Role of migratory birdpopulation in a simple eco-epidemiological model[J].Math.Comp.Model.Dys.Syst.,2007,13(1):99.
韩丽涛.一类食饵中存在疾病的捕食系统SIS传染病模型[J].工程数学学报,2007(2):71-78.Han Litao.A predator-prey SIS epidemic model withinfected prey[J].Chinese Journal of EngineeringMathematics,2007(2):71-78.(in Chinese)
张永坡.一个食饵有病的捕食与被捕食模型分析[J].吉林大学学报(理学版),2011(3):191-194.Zhang Yongpo.Analysis of predator-prey model withdisease in the prey[J].Journal of Jilin University(Science Edition),2011(3):191-194.(in Chinese)
Zhang Yan,Gao Shujing,Liu Yujiang.Analysis of anonautonomous model for migratory birds withsaturation incidence rate[J].Commun Nonlinear SciNumer Simulat,2012,17:1659-1672.
Arditi R.Variation in plankton densities amonglakes:A case for ratio-dependent predation models[J].Am.Nat.,1991,138:1287-1296.
Teng Zhidong.Permanence and asymptotic behaviorof N-species nonautonomous Lotka-Volterracompetitive systems[J].Comput.Math.Appl.,2000,39:107-116.
Zhang Tailei.On a nonautonomous SEIRS model inepidemiology[J].BMB,2007,69:2537-2559.
Feng Xiaomei,Teng Zhidong,Zhang Long.Thepermanence for nonautonomous n-species Lotka-Volterra competitive systems with feedback controls[J].Rocky Mountain J.Math.,2008,38:1355.
De Oca F M.Extinction in nonautonomouscompetitive Lotka-Volterra systems with infinitedelay[J].Nonlinear Analysis:Theory,Methods&Applications,2012,75(2):758-768.
Niu Xingge,Zhang Long,Teng Zhidong.Theasymptotic behavior of a nonautonomous eco-epidemic model with disease in the prey[J].Appl.Math.Modelling,2011,35:457-470.