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Eco-epidemiological predator–prey models: A review of models in ordinary differential equations
Eco-epidemiology integrates ecological and epidemiological approaches to analyze both
the impact of infectious diseases on ecological communities and how interspecific …
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 …
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 …
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
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 …
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
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 …
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 …
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 …
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 …
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
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 …
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
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 …
ecoepidemic dynamics with a transmissible disease in the predator population. The time lag …