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 …

Modeling the plankton–fish dynamics with top predator interference and multiple gestation delays

NK Thakur, A Ojha, D Jana, RK Upadhyay - Nonlinear Dynamics, 2020 - Springer
Many prey organisms have developed defense mechanisms against predation. If the
predator can encounter in a limited spatial domain, the feeding rates reflect interference …

Stability analysis of prey-predator system with Holling type functional response and prey refuge

Z Ma, S Wang, T Wang, H Tang - Advances in Difference Equations, 2017 - Springer
In this paper, a predator-prey system with Holling type function response incorporating prey
refuge is presented. By applying the analytical approaches, the dynamics behavior of the …

Stability and Hopf bifurcation for a stage-structured predator–prey model incorporating refuge for prey and additional food for predator

Y Bai, Y Li - Advances in Difference Equations, 2019 - Springer
In this paper, we study a stage-structured predator–prey model incorporating refuge for prey
and additional food for predator. By analyzing the corresponding characteristic equations …

[HTML][HTML] Optimal harvesting of a predator-prey system with marine reserve

M Ibrahim - Scientific African, 2021 - Elsevier
Fisheries in develo** countries are often confronted with the problem of excessive
harvesting of the marine resources as a result of lax management practices. This study …

[HTML][HTML] Impact of prey refuge in a discontinuous Leslie-Gower model with harvesting and alternative food for predators and linear functional response

CC García - Mathematics and Computers in Simulation, 2023 - Elsevier
Since in nature there are species that take refuge, totally or proportionally, from the predator
if the prey population size exceeds a threshold value, and become available again to the …

Interaction between prey and mutually interfering predator in prey reserve habitat: Pattern formation and the Turing–Hopf bifurcation

JP Tripathi, S Abbas, GQ Sun, D Jana… - Journal of the Franklin …, 2018 - Elsevier
In this paper, we propose a diffusive prey-predator system with mutually interfering predator
(Crowley–Martin functional response) and prey reserve. In particular, we develop and …

A Beddington–DeAngelis type one-predator two-prey competitive system with help

JP Tripathi, D Jana, V Tiwari - Nonlinear Dynamics, 2018 - Springer
In this paper, we present and study a two competing prey and one predator system where
during predation both the teams of prey help each other and the rate of predation on both …

Self-diffusion-driven pattern formation in prey–predator system with complex habitat under fear effect

D Jana, S Batabyal, M Lakshmanan - The European Physical Journal Plus, 2020 - Springer
In the present work, we explore the influence of habitat complexity on the activities of prey
and predator of a spatio-temporal system by incorporating self-diffusion. First, we modify the …

[HTML][HTML] Bifurcations in a discontinuous Leslie-Gower model with harvesting and alternative food for predators and constant prey refuge at low density

CC García - Mathematical Biosciences and Engineering, 2022 - aimspress.com
Since environmental studies have shown that a constant quantity of prey become refuges
from the predator at low densities and become accessible again for consumption when they …