PREDATOR-PREY INTERACTIONS UNDER FEAR EFFECT AND MULTIPLE FORAGING STRATEGIES

被引:5
|
作者
Halder, Susmita [1 ]
Bhattacharyya, Joydeb [2 ]
Pal, Samares [1 ]
机构
[1] Univ Kalyani, Dept Math, Nadia 741235, W Bengal, India
[2] Karimpur Pannadevi Coll, Dept Math, Nadia 741152, W Bengal, India
来源
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2022年 / 27卷 / 07期
关键词
  Fear effect; foraging; harvesting; transcritical bifurcation; saddle-node bifurcation; Hopf bifurcation; MODIFIED LESLIE-GOWER; BIFURCATION-ANALYSIS; FUNCTIONAL-RESPONSE; GLOBAL STABILITY; MODEL; DYNAMICS;
D O I
10.3934/dcdsb.2021206
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
. We propose and analyze the effects of a generalist predator-driven fear effect on a prey population by considering a modified Leslie-Gower predatorprey model. We assume that the prey population suffers from reduced fecundity due to the fear of predators. We investigate the predator-prey dynamics by incorporating linear, Holling type II and Holling type III foraging strategies of the generalist predator. As a control strategy, we have considered density-dependent harvesting of the organisms in the system. We show that the systems with linear and Holling type III foraging exhibit transcritical bifurcation, whereas the system with Holling type II foraging has a much more complex dynamics with transcritical, saddle-node, and Hopf bifurcations. It is observed that the prey population in the system with Holling type III foraging of the predator gets severely affected by the predation-driven fear effect in comparison with the same with linear and Holling type II foraging rates of the predator. Our model simulation results show that an increase in the harvesting rate of the predator is a viable strategy in recovering the prey population.
引用
收藏
页码:3779 / 3810
页数:32
相关论文
共 50 条
  • [31] Dynamical Behaviour of an Infected Predator-Prey Model with Fear Effect
    Barman, Dipesh
    Roy, Jyotirmoy
    Alam, Shariful
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2021, 45 (01): : 309 - 325
  • [32] DYNAMICAL BEHAVIOR OF A DISEASED PREDATOR-PREY MODEL WITH FEAR EFFECT AND PREY HARVESTING
    Pradeep, M. Siva
    Gopal, T. Nandha
    Sivabalan, M.
    Deepak, N. P.
    Magudeeswaran, M.
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2024, 73 (04): : 875 - 893
  • [33] Dynamics of a stochastic delay predator-prey model with fear effect and diffusion for prey
    Wang, Qiufen
    Zhang, Shuwen
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 537 (02)
  • [34] Dynamical Behaviour of an Infected Predator-Prey Model with Fear Effect
    Dipesh Barman
    Jyotirmoy Roy
    Shariful Alam
    Iranian Journal of Science and Technology, Transactions A: Science, 2021, 45 : 309 - 325
  • [35] Dynamics of a diffusive predator-prey model with nonlocal fear effect
    Sun, Xiuli
    CHAOS SOLITONS & FRACTALS, 2023, 177
  • [36] Spatiotemporal dynamics of a diffusive predator-prey model with fear effect
    Liu, Jia
    Kang, Yun
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2022, : 841 - 862
  • [37] Bifurcation analysis of a diffusive predator-prey model with fear effect
    Cao, Jianzhi
    Li, Fang
    Hao, Pengmiao
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (17) : 13404 - 13423
  • [38] STUDYING THE FEAR EFFECT IN A PREDATOR-PREY SYSTEM WITH APPARENT COMPETITION
    Wang, Xiaoying
    Smit, Alexander
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2023, 28 (02): : 1393 - 1413
  • [39] Dynamics of a Predator-Prey Model with Fear Effect and Time Delay
    Liu, Junli
    Lv, Pan
    Liu, Bairu
    Zhang, Tailei
    COMPLEXITY, 2021, 2021 (2021)
  • [40] Stability Analysis of a Patchy Predator-Prey Model with Fear Effect
    Liu, Tingting
    Chen, Lijuan
    AXIOMS, 2022, 11 (10)