An eco-epidemiological model with general functional response of predator to prey

TL;DR

This paper develops a flexible eco-epidemiological model incorporating general predation functions and vital dynamics, providing new insights into persistence and extinction of infected prey, with applications to existing predator-prey models and simulations.

Contribution

It introduces a nonautonomous eco-epidemiological model with general functional responses, extending previous models and analyzing persistence and extinction conditions for infected prey.

Findings

Derived conditions for persistence and extinction of infected prey.

Applied theoretical results to existing predator-prey models.

Performed illustrative simulations demonstrating model behavior.

Abstract

We consider a nonautonomous eco-epidemiological model with general functions for predation on infected and uninfected preys as well as general functions associated to the vital dynamics of the susceptible prey and predator populations. We obtain persistence and extinction results for the infected prey based on assumptions on systems related to the dynamics in the absence of infected preys. We apply our results to eco-epidemiological models constructed from predator-prey models existent in the literature. Some illustrative simulation is undertaken.