Eco-epidemiological predator–prey models: A review of models in ordinary differential equations

EA Gómez-Hernández, FN Moreno-Gómez… - Ecological …, 2024 - Elsevier
Eco-epidemiology integrates ecological and epidemiological approaches to analyze both
the impact of infectious diseases on ecological communities and how interspecific …

Ratio-dependent predator-prey models of interacting populations

M Haque - Bulletin of mathematical biology, 2009 - Springer
Ratio-dependent predator-prey models are increasingly favored by both the theoretical and
experimental ecologists as a more suitable alternative to describe predator-prey interactions …

A predator–prey model with disease in the predator species only

M Haque - Nonlinear Analysis: Real World Applications, 2010 - Elsevier
In this paper we propose a predator–prey model with logistic growth in the prey population
that includes an SIS parasitic infection in the predator population, with the assumption that …

Bifurcation analysis of a predator-prey model with predator intraspecific interactions and ratio-dependent functional response

C Arancibia-Ibarra, P Aguirre, J Flores… - Applied Mathematics and …, 2021 - Elsevier
We study the Bazykin predator-prey model with predator intraspecific interactions and ratio-
dependent functional response and show the existence and stability of two interior …

Exploring dynamical complexity of a cannibalistic eco‐epidemiological model with multiple time delay

S Biswas, B Ahmad, S Khajanchi - Mathematical methods in …, 2023 - Wiley Online Library
In this paper, we investigate a cannibalistic predator‐prey system with Beddington‐
DeAngelis type response function when the infection only exists in the predator species. The …

Disease-induced stabilization of predator–prey oscillations

FM Hilker, K Schmitz - Journal of Theoretical Biology, 2008 - Elsevier
Parasites are an integral part of virtually all food webs and species communities. Here we
consider the invasion of a resident predator–prey system by an infectious disease with …

Existence of spatial patterns in a predator–prey model with self-and cross-diffusion

LN Guin - Applied Mathematics and Computation, 2014 - Elsevier
In this work, we investigate the spatiotemporal dynamics of reaction–diffusion equations
subject to cross-diffusion in the frame of a two-dimensional ratio-dependent predator–prey …

Modeling and analysis of a prey–predator system with disease in the prey

S Jana, TK Kar - Chaos, Solitons & Fractals, 2013 - Elsevier
A three dimensional ecoepidemiological model consisting of susceptible prey, infected prey
and predator is proposed and analysed in the present work. The parameter delay is …

A seasonally forced eco-epidemic model with disease in predator and incubation delay

P SEN, S SAMANTA, MY KHAN… - Journal of Biological …, 2023 - World Scientific
Our current research is based on the investigation of an eco-epidemiological model that
solely includes illness in predators. Predators, both healthy and diseased, are thought to …

Effect of delay in a Lotka–Volterra type predator–prey model with a transmissible disease in the predator species

M Haque, S Sarwardi, S Preston, E Venturino - Mathematical Biosciences, 2011 - Elsevier
We consider a system of delay differential equations modeling the predator–prey
ecoepidemic dynamics with a transmissible disease in the predator population. The time lag …