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ISSN 2063-5346
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DYNAMICS OF A CROWLEY-MARTIN ECO-EPIDEMIOLOGICAL MODEL WITH PREY REFUGE AND PREY HARVESTING

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A. Divya1โˆ—, M. Sivabalan1, A. Ashwin1, M. Siva Pradeep1
ยป doi: 10.48047/ecb/2023.12.si10.00474

Abstract

In this paper, constructing a three-species food web model involved using the interactions between diseased predator-prey models. The logistically growing prey population is split into two categories: susceptible and infected prey. Presumably, the prey population expands logistically in the absence of predators. In Crowley-Martin-type interactions, it is assumed that interdependence between predators occurs regardless of whether an individual predator is searching for prey or handling prey at the time. Also, the prey refuge and prey harvesting of susceptible prey and infected prey has been considered. The positive invariance, positivity, and boundedness of the model are investigated. The conditions for the existence of all the biologically feasible equilibrium points are established. The criterion for the local and global stability of equilibrium points in the non-delay system is examined. Further, we investigate the Hopf-bifurcation analysis for the corresponding proposed model in the presence of the fear effect. Finally, we demonstrate some numerical simulation results to illustrate our main analytical findings

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