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Dynamical behaviours of a delayed diffusive eco-epidemiological model with fear effect

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  • Liu, Jia
  • Cai, Yongli
  • Tan, Jing
  • Chen, Yeqin

Abstract

This paper concerned with a delayed diffusive eco-epidemiological model with fear effect. First, we discuss the existence and boundedness of the solution of the system. Then we give some conditions for the existence and stability of the nonnegative equilibria, and Turing instability. Furthermore, we choose the delay as bifurcation parameter to study Hopf bifurcation. Finally, we present some numerical simulations to verify our theoretical results. By mathematical and numerical analyses, we find that the fear can prevent the occurrence of limit cycle oscillation and increase the stability of the system, and the diffusion can induce the spatial pattern in the system.

Suggested Citation

  • Liu, Jia & Cai, Yongli & Tan, Jing & Chen, Yeqin, 2022. "Dynamical behaviours of a delayed diffusive eco-epidemiological model with fear effect," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    • Handle: RePEc:eee:chsofr:v:161:y:2022:i:c:s0960077922005598
    DOI: 10.1016/j.chaos.2022.112349
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    References listed on IDEAS

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    1. Hossain, Mainul & Pal, Nikhil & Samanta, Sudip, 2020. "Impact of fear on an eco-epidemiological model," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
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