A Leslie-Gower Holling-type II ecoepidemic model

Abstract

The modified Leslie-Gower and Holling-type II predator-prey model is generalized in the context of ecoepidemiology, with disease spreading only among the prey species. A new feature is introduced, the intraspecific competition of infected prey. All the equilibria are characterized and the existence of a Hopf bifurcation at the coexistence equilibrium is shown.

A Minimal Model for Ecoepidemics With Group Defense

“…The following argument is close to the one found in the literature, see for instance [9,13]. Define then the quantity T = 1 2 P 2 + I + F .…”

Ecoepidemiology: a More Comprehensive View of Population Interactions

“…The behavior of the model introduced in [67], with quadratic population interactions and standard disease incidence, is similar: the origin is destabilized by a low enough disease contact rate and the healthy-prey-only and the predator-free equilibria can be attained, while in [114] this does not happen as they are unconditionally unstable.…”

“…A generalisation of (4.4) is presented in [114], in which the presence of the infected class is felt both by healthy as well as infected prey, in that it contributes to the intraspecific competition, with predators capturing both kinds of prey at different rates. Here the basic reproduction number R 0 depends inversely also on the intraspecific parameters, so that the latter exert a positive role in disease eradication: the larger they are, the larger the disease reduction.…”

Global stability and Hopf bifurcation of a delayed eco‐epidemiological model with Holling type II functional response

“…In [2], assuming the disease is transmitted only within the prey, Anderson and May proposed a basic Lotka-Volterra type eco-epidemiological model. On the basis of the work of Anderson and May, different types of eco-epidemiological models have been investigated (see, for example, [2][3][4][5][6][7][8][9][10][11]). In the previous work, most models assume that the infection affects the prey only and the time delay due to the gestation period of the predator is ignored.…”