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 …

A predator-prey model with different response functions to juvenile and adult prey in deterministic and stochastic environments

S Zhang, S Yuan, T Zhang - Applied Mathematics and Computation, 2022 - Elsevier
In this paper, we formulate a stage-structured predator-prey model with Holling-I and
Crowley-Martin functional responses in deterministic and stochastic environments, where …

Spatiotemporal patterns in a diffusive predator-prey model with protection zone and predator harvesting

F Souna, A Lakmeche, S Djilali - Chaos, Solitons & Fractals, 2020 - Elsevier
In this paper, a diffusive predator-prey model subject to the zero flux boundary conditions is
considered, in which the prey population exhibits social behavior and the harvesting …

Global analysis of a delayed density dependent predator–prey model with Crowley–Martin functional response

JP Tripathi, S Tyagi, S Abbas - Communications in Nonlinear Science and …, 2016 - Elsevier
In this paper, we present and study a two-dimensional continuous time dynamical system
modelling a predator–prey with discrete delay incorporating Crowley–Martin functional …

Pattern formations of a delayed diffusive predator–prey model with predator harvesting and prey social behavior

S Djilali, S Bentout - Mathematical Methods in the Applied …, 2021 - Wiley Online Library
In this research, we are interested in analyzing the behavior of a diffusive predator–prey
model in the presence of predator rivalry and prey social behavior. The predator rivalry …

Dynamical analysis of a delayed food chain model with additive Allee effect

S Vinoth, R Sivasamy, K Sathiyanathan… - Advances in Difference …, 2021 - Springer
Dynamical analysis of a delayed tri-trophic food chain consisting of prey, an intermediate,
and a top predator is investigated in this paper. The additive Allee effect is introduced in the …

Modeling the effect of fear in a prey–predator system with prey refuge and gestation delay

A Kumar, B Dubey - International Journal of Bifurcation and Chaos, 2019 - World Scientific
Recently, some field experiments and studies show that predators affect prey not only by
direct killing, they induce fear in prey which reduces the reproduction rate of prey species …

Bifurcation study and pattern formation analysis of a tritrophic food chain model with group defense and Ivlev-like nonmonotonic functional response

V Kumar, N Kumari - Chaos, Solitons & Fractals, 2021 - Elsevier
In this work, a tritrophic food chain model has been proposed by incorporating Ivlev-like
nonmonotonic functional response, where prey is equipped with defense ability. We have …

Dynamics of prey–predator model with stage structure in prey including maturation and gestation delays

B Dubey, A Kumar - Nonlinear Dynamics, 2019 - Springer
This study proposes a three-dimensional prey–predator model with stage structure in prey
(immature and mature) including maturation delay in prey population and gestation delay in …

Bifurcation and Chaos of a Discrete Predator‐Prey Model with Crowley–Martin Functional Response Incorporating Proportional Prey Refuge

PK Santra, GS Mahapatra… - … Problems in Engineering, 2020 - Wiley Online Library
The paper investigates the dynamical behaviors of a two‐species discrete predator‐prey
system with Crowley–Martin functional response incorporating prey refuge proportional to …