Effect of diffusion on a two-species eco-epidemiological model

被引:5
|
作者
Mukherjee, D [1 ]
机构
[1] Vivekananda Coll, Dept Math, Thakurpurkur 700063, Kolkata, India
关键词
eco-epidemic model; diffusion; uniform steady state; asymptotic stability;
D O I
10.1080/13873950500064293
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper deals with the stabilizing effect of diffusion on a prey-predator system where the prey population is infected by a microparasite. The predator functional response is a concave-type function. Conditions for the local as well as global stability of the model without diffusion are derived in terms of system parameters. It is also shown that an unstable equilibrium of the model without diffusion can be made stable by increasing the diffusion coefficients appropriately.
引用
收藏
页码:447 / 457
页数:11
相关论文
共 50 条
  • [41] Dynamics of an eco-epidemiological model with nonmonotonic functional response of susceptible predator on prey species
    Mandal, Md Reduanur
    Hossain, Sajjad
    Sarwardi, Sahabuddin
    INTERNATIONAL JOURNAL OF MODELING SIMULATION AND SCIENTIFIC COMPUTING, 2023, 14 (04)
  • [42] Discretization of an eco-epidemiological model and its dynamic consistency
    Biswas, M.
    Bairagi, N.
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2017, 23 (05) : 860 - 877
  • [43] Bifurcation of an eco-epidemiological model with a nonlinear incidence rate
    Liu, Xuanliang
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (05) : 2300 - 2309
  • [44] Analysis of dynamics in an eco-epidemiological model with stage structure
    Hao, Pengmiao
    Wei, Junjie
    Fan, Dejun
    ADVANCES IN DIFFERENCE EQUATIONS, 2016,
  • [45] Dynamics of an Eco-Epidemiological Model with Saturated Incidence Rate
    Suryanto, Agus
    SYMPOSIUM ON BIOMATHEMATICS (SYMOMATH 2016), 2017, 1825
  • [46] Smoking epidemic eradication in a eco-epidemiological dynamical model
    van Voom, G. A. K.
    Kooi, B. W.
    ECOLOGICAL COMPLEXITY, 2013, 14 : 180 - 189
  • [47] Dynamical Analysis of Eco-Epidemiological Model with Fading Memory
    Moustafa, Mahmoud
    Zali, Suad Mawloud
    Shafie, Sharidan
    JOURNAL OF APPLIED NONLINEAR DYNAMICS, 2024, 13 (02) : 191 - 202
  • [48] DYNAMICAL BEHAVIOR OF A STAGE STRUCTURED ECO-EPIDEMIOLOGICAL MODEL
    Kant, Shashi
    Kumar, Vivek
    DIFFERENTIAL EQUATIONS & APPLICATIONS, 2015, 7 (04): : 503 - 515
  • [49] A cannibalistic eco-epidemiological model with disease in predator population
    Biswas, Santosh
    Samanta, Sudip
    Chattopadhyay, Joydev
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2018, 57 (1-2) : 161 - 197
  • [50] Pelicans at risk in Salton sea - an eco-epidemiological model
    Chattopadhyay, J
    Bairagi, N
    ECOLOGICAL MODELLING, 2001, 136 (2-3) : 103 - 112