Dynamics of a predator-prey model with nonlinear incidence rate, Crowley-Martin type functional response and disease in prey population

SG Mortoja, P Panja, SK Mondal - Ecological Genetics and Genomics, 2019 - Elsevier
In this paper, a delayed predator-prey model has been developed. Here, on the basis of
infectious disease, the prey population has been divided into two sub-populations such as …

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 model: effect of environmental fluctuation and stability

M Bandyopadhyay, J Chattopadhyay - Nonlinearity, 2005 - iopscience.iop.org
This paper deals with the problem of a ratio-dependent predator–prey model. The
deterministic and stochastic behaviour of the model system around biologically feasible …

Delay-induced chaos and its possible control in a seasonally forced eco-epidemiological model with fear effect and predator switching

S Biswas, PK Tiwari, S Pal - Nonlinear Dynamics, 2021 - Springer
Fear of predation risk may assert privilege to prey animals by restricting their exposure to
potential predators; meanwhile, it can also impose costs by constraining the exploration of …

Effects of fear, refuge and hunting cooperation in a seasonally forced eco-epidemic model with selective predation

S Roy, PK Tiwari, H Nayak, M Martcheva - The European Physical Journal …, 2022 - Springer
In ecological systems, the fear of predation risk may assert privilege to the prey species by
restricting their exposure to potential predators, and also impose costs by constraining the …

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 …

Infection in prey population may act as a biological control in ratio-dependent predator–prey models

O Arino, J Mikram, J Chattopadhyay - Nonlinearity, 2004 - iopscience.iop.org
A ratio-dependent predator–prey model with infection in prey population is proposed and
analysed. The behaviour of the system near the biological feasible equilibria is observed …

Backward bifurcation, oscillations and chaos in an eco-epidemiological model with fear effect

A Sha, S Samanta, M Martcheva… - Journal of biological …, 2019 - Taylor & Francis
This paper considers an eco-epidemiological model with disease in the prey population.
The disease in the prey divides the total prey population into two subclasses, susceptible …

Harvesting as a disease control measure in an eco-epidemiological system–a theoretical study

N Bairagi, S Chaudhuri, J Chattopadhyay - Mathematical Biosciences, 2009 - Elsevier
Epidemiology and ecology are traditionally treated as independent research areas, but there
are many commonalities between these two fields. It is frequently observed in nature that the …

Occurrence of planktonic blooms under environmental fluctuations and its possible control mechanism—mathematical models and experimental observations

RR Sarkar, J Chattopadhayay - Journal of Theoretical biology, 2003 - Elsevier
Planktonic blooms and its control is an intriguing problem in ecology. To investigate the
oscillatory successions of blooms, three simple phytoplankton–zooplankton systems are …