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DYNAMICS ANALYSIS OF A THREE SPECIES FOOD WEB ECO-EPIDEMIOLOGICAL MODEL IN CROWLEY-MARTIN FUNCTIONAL RESPONSE WITH IMPACT OF FEAR
* 1 , 1 , 2
1  SRI RAMAKRISHNAN MISSION VIDYALAYA COLLEGE OF ARTS AND SCIENCE, COIMBATORE, INDIA-641 020
2  UNITED INSTITUTE OF TECHNOLOGY, COIMBATORE, INDIA-641 020
Academic Editor: Gaetano Pandino

https://doi.org/10.3390/IOCAG2023-17333 (registering DOI)
Abstract:

This article consists of a three-species food web model that has been developed by considering the
interaction between susceptible prey, infected prey, and predator species. It is assumed that
susceptible prey species grow logistically in the absence of predators. It is assumed that predators
consume susceptible and infected prey and infected prey consumes susceptible prey. Furthermore, the predator consumes its prey in the form of Holling-type and Crowley-Martin-type interactions. Also, infected prey consumes susceptible prey in the form of Holling-type interaction. The positive invariance, positivity, and boundedness of the system are discussed. The conditions of all biologically feasible equilibrium points have
been examined. The local stability of the systems around these equilibrium points is investigated
and global stability is analyzed by suitable Lyapunov functions around these equilibrium points.
Furthermore, the occurrence of Hopf-bifurcation concerning predation rete of the system has been
investigated. Finally, we demonstrate some numerical simulation results to illustrate our main
analytical findings.

Keywords: Fear, Stability, Crowley-Martin, Hopf-bifurcation

 
 
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