An Eco-Epidemic Predator-Prey Model with Selective Predation and Time Delays

Sasanka Shekhar Maity, Pankaj Kumar Tiwari, Nanda Das and Samares Pal
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Sasanka Shekhar Maity: University of Kalyani, Department of Mathematics
Pankaj Kumar Tiwari: Indian Institute of Information Technology, Department of Basic Science and Humanities
Nanda Das: Maulana Azad College, Department of Mathematics
Samares Pal: University of Kalyani, Department of Mathematics

A chapter in Trends in Biomathematics: Modeling Epidemiological, Neuronal, and Social Dynamics, 2023, pp 197-214 from Springer

Abstract: Abstract An eco-epidemic model is studied in the present paper by assuming that the predators are able to pick out prey that have been infected by some parasite and have a habit to avoid such prey for reducing fitness cost. The disease is assumed to be SI−type, and the predator population is assumed to face intraspecific competition besides natural death. We investigate a more realistic phenomenon by considering time delays in maturation and incubation periods. It is found that the dynamics of system changes from stable focus to oscillations around coexistence equilibrium to oscillations around disease-free equilibrium with the gradual increase in the preference of predators on infected prey. Chaotic behavior is explored for lower values of intraspecies competition among predator population. Our results show that both time delays destabilize the system through limit cycle oscillations, and period doubling oscillations are observed for higher values of time delays. The findings suggest that understanding the consequences of predator’s preference may be crucial for community structure involving parasites burden.

Keywords: Predator-prey interactions; Disease; Selectivity; Time delays; Stability; Hopf bifurcation (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-33050-6_12

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DOI: 10.1007/978-3-031-33050-6_12

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