Effect of emergent carrying capacity in an eco‐epidemiological system

Abstract

The paper explores an eco-epidemiological model of a predator-prey type, where the prey population is subject to infection. The model is basically a combination of S-I type model and a Rosenzweig-MacArthur predator-prey model. The novelty of this contribution is to consider different competition coefficients within the prey population, which leads to the emergent carrying capacity. We explicitly separate the competition between non-infected and infected individuals. This emergent carrying capacity is markedly different to the explicit carrying capacities that have been considered in many ecoepidemiological models. We observed that different intra-class and inter-class competition can facilitate the coexistence of susceptible prey-infected prey-predator, which is impossible for the case of the explicit carrying capacity model. We also show that these findings are closely associated with bi-stability. The present system undergoes bi-stability in two different scenarios: (a) bi-stability between the planner equilibria where susceptible prey co-exists with predator or infected prey and (b) bi-stability between co-existence equilibrium and the planner equilibrium where susceptible prey coexists with infected prey; have been discussed. The conditions for which the system is to be permanent and the global stability of the system around disease-free equilibrium are worked out.

Complex dynamics of an eco-epidemiological model with different competition coefficients and weak Allee in the predator

“…Apart from Allee parameter, the intra-class competition and inter-class competition can control chaos separately, which is not studied earlier. Recently, [66] have taken separate competition between non-infected and infected individuals. They observed that different intra-class and inter-class competition, which leads to the emergent carrying capacity can exhibit three species coexistence in an eco-epidemiological model, which is not possible in the case of explicit carrying capacity.…”

“…In explicit carrying capacity, competitive abilities for both the susceptible prey and infected prey are same but in emergent carrying capacity the competitive abilities for the susceptible prey and infected prey are different as in the presence of a disease, the infected prey population will not have the same competing ability as of susceptible one. [66] have shown that emergent carrying capacity can exhibit three species coexistence in an eco-epidemiological model.…”

Dynamics of a Fractional Order Eco-Epidemiological Model

“…Saifuddin et al, [6] modified Chattopadhyay and Arino model by assuming that the infected prey cannot reproduce, but both susceptible and infected are competing for the same resources. Here, the predator consumes both prey at the same rate.…”