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Impact of fear on a delayed eco-epidemiological model for migratory birds

  • Caihong Song and Ning Li EMAIL logo
Published/Copyright: November 9, 2021

Abstract

In this paper, a delayed eco-epidemiological model including susceptible migratory birds, infected migratory birds and predator population is proposed by us. The interaction between predator and prey is represented by functional response of Leslie–Gower Holling-type II. Fear effect is considered in the model. We assume that the growth rate and activity of prey population can be reduced because of fear effect of predator, and this series of behaviors will indirectly slow down the spread of diseases. Positivity, boundedness, persistence criterion, and stability of equilibrium points of the system are analyzed. Transcritical bifurcation and Hopf-bifurcation respect to important parameters of the system have been discussed both analytically and numerically (e.g. fear of predator, disease transmission rate of prey, and delay). Numerical simulation results show that fear can not only eliminate the oscillation behavior caused by high disease transmission rate and long delay in the model system, but also eliminate the disease.


Corresponding author: Ning Li, Department of Mathematics, Northeastern University, Shenyang 110819, Liaoning, China, E-mail:

Funding source: Liaoning Provincial Department of Education Scientific Research Fund Project

Award Identifier / Grant number: lnjc202018

Acknowledgments

Authors are thankful to the editor and reviewers for their constructive suggestions and comments.

  1. Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: This work was partially supported by Liaoning Provincial Department of Education Scientific Research Fund Project (lnjc202018).

  3. Conflict of interest statement: The authors declare no conflicts of interest regarding this article.

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Received: 2021-08-01
Revised: 2021-10-09
Accepted: 2021-10-17
Published Online: 2021-11-09
Published in Print: 2022-02-23

© 2021 Walter de Gruyter GmbH, Berlin/Boston

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