Influence of eutrophication on disease in aquatic ecosystems: patterns, processes, and predictions

PTJ Johnson, SR Carpenter - Reciporical Interactions between …, 2008 - degruyter.com
SUMMARy HABiTAT ALTERATiON AND DiSEASE EMERGENCE are among the most
pressing environmental concerns facing society. Aquatic ecosystems present a nexus of …

Role of infection on the stability of a predator–prey system with several response functions—a comparative study

N Bairagi, PK Roy, J Chattopadhyay - Journal of Theoretical Biology, 2007 - Elsevier
In this paper, we have proposed and analyzed a mathematical model of an infected predator–
prey system with different predators' functional response. The existence and uniqueness of …

Chaos, periodic structures, and multistability: Complex dynamical behaviors of an eco-epidemiological model in parameter planes

S Garai, M Hossain, S Karmakar, N Pal - Chaos: An Interdisciplinary …, 2023 - pubs.aip.org
The environmental characteristics of a biological system are imbibed in some particular
parameters of that system. Significant changes in any system parameter exert influence on …

An eco-epidemiological system with infected prey and predator subject to the weak Allee effect

SK Sasmal, J Chattopadhyay - Mathematical Biosciences, 2013 - Elsevier
In this article, we propose a general prey–predator model with disease in prey and predator
subject to the weak Allee effects. We make the following assumptions:(i) infected prey …

Spread of a disease and its effect on population dynamics in an eco-epidemiological system

RK Upadhyay, P Roy - … in Nonlinear Science and Numerical Simulation, 2014 - Elsevier
In this paper, an eco-epidemiological model with simple law of mass action and modified
Holling type II functional response has been proposed and analyzed to understand how a …

Dynamics investigation and numerical simulation of fractional-order predator-prey model with Holling type functional response

Z Hammouch, MO Jamil, C Unlu - Discrete and Continuous …, 2024 - aimsciences.org
In the study of population dynamics, understanding the interactions between different
species is crucial. Traditional models often rely on integer-order derivatives, which lack …

Dynamics of a predator-prey system with prey subject to Allee effects and disease

Y Kang, SK Sasmal, AR Bhowmick… - Mathematical …, 2014 - aimsciences.org
In this article, we propose a general predator-prey system where prey is subject to Allee
effects and disease with the following unique features:(i) Allee effects built in the …

Effects of a disease affecting a predator on the dynamics of a predator–prey system

P Auger, R Mchich, T Chowdhury, G Sallet… - Journal of theoretical …, 2009 - Elsevier
We study the effects of a disease affecting a predator on the dynamics of a predator–prey
system. We couple an SIRS model applied to the predator population, to a Lotka–Volterra …

An eco‐epidemiological predator–prey model where predators distinguish between susceptible and infected prey

D Greenhalgh, QJA Khan… - Mathematical methods in …, 2017 - Wiley Online Library
A predator–prey model with disease amongst the prey and ratio‐dependent functional
response for both infected and susceptible prey is proposed and its features analysed. This …

Population dynamics of infectious diseases: a discrete time model

MK Oli, M Venkataraman, PA Klein, LD Wendland… - ecological …, 2006 - Elsevier
Mathematical models of infectious diseases can provide important insight into our
understanding of epidemiological processes, the course of infection within a host, the …