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
来源：
MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS | 2005年 / 11卷 / 04期
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
  • [1] Preytaxis and Travelling Waves in an Eco-epidemiological Model
    Bate, Andrew M.
    Hilker, Frank M.
    BULLETIN OF MATHEMATICAL BIOLOGY, 2019, 81 (04) : 995 - 1030
  • [2] 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)
  • [3] The dynamics of an eco-epidemiological model with nonlinear incidence rate
    Bai, Cuicui
    Li, Youwen
    PROCEEDINGS OF THE 6TH CONFERENCE OF BIOMATHEMATICS, VOLS I AND II: ADVANCES ON BIOMATHEMATICS, 2008, : 76 - 80
  • [4] Traveling wave in an eco-epidemiological model with diffusion and convex incidence rate: Dynamics and numerical simulation
    Bagheri, Safieh
    Akrami, Mohammad Hossein
    Loghmani, Ghasem Barid
    Heydari, Mohammad
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2024, 216 : 347 - 366
  • [5] Effect of Fear, Treatment, and Hunting Cooperation on an Eco-Epidemiological Model: Memory Effect in Terms of Fractional Derivative
    Ghosh, Uttam
    Thirthar, Ashraf Adnan
    Mondal, Bapin
    Majumdar, Prahlad
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2022, 46 (06): : 1541 - 1554
  • [6] Effect of Fear, Treatment, and Hunting Cooperation on an Eco-Epidemiological Model: Memory Effect in Terms of Fractional Derivative
    Uttam Ghosh
    Ashraf Adnan Thirthar
    Bapin Mondal
    Prahlad Majumdar
    Iranian Journal of Science and Technology, Transactions A: Science, 2022, 46 : 1541 - 1554
  • [7] Optimal control of a diffusive eco-epidemiological predator-prey model
    Zhang, Xuebing
    Wang, Guanglan
    Zhu, Honglan
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2020, 13 (07)
  • [8] Dynamics of an eco-epidemiological model with mutual interference and nonlinear harvesting of predator
    Kar, Raktim
    Biswas, Santosh
    Pal, A. K.
    Tiwari, Pankaj Kumar
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2025, : 4095 - 4120
  • [9] Complex dynamics of an eco-epidemiological model with different competition coefficients and weak Allee in the predator
    Saifuddin, Md.
    Biswas, Santanu
    Samanta, Sudip
    Sarkar, Susmita
    Chattopadhyay, Joydev
    CHAOS SOLITONS & FRACTALS, 2016, 91 : 270 - 285
  • [10] Periodicity and blowup in a two-species cooperating model
    Lin, Zhigui
    Liu, Jiahong
    Pedersen, Michael
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (01) : 479 - 486
12345