Dynamic analysis of a predator-prey system with nonlinear prey harvesting and square root functional response

MG Mortuja, MK Chaube, S Kumar - Chaos, Solitons & Fractals, 2021 - Elsevier
In this work, the dynamics of a predator-prey system considering square root type functional
response for prey herd behaviour and nonlinear prey harvesting has been analyzed. The …

[HTML][HTML] Stability and bifurcation analysis of a discrete predator-prey system of Ricker type with refuge effect

PA Naik, M Amer, R Ahmed, S Qureshi… - Mathematical …, 2024 - aimspress.com
The refuge effect is critical in ecosystems for stabilizing predator-prey interactions. The
purpose of this research was to investigate the complexities of a discrete-time predator-prey …

Bifurcation analysis of a discrete Phytoplankton–Zooplankton model with linear predational response function and toxic substance distribution

AQ Khan, F Nazir, MB Almatrafi - International Journal of …, 2023 - World Scientific
Phytoplanktons are drifting plants in an aquatic system. They provide food for marine
animals and are compared to terrestrial plants in that having chlorophyll and carrying out …

Complex dynamics of a predator-prey system with Gompertz growth and herd behavior

R Ahmed, MB Almatrafi - International Journal of Analysis and …, 2023 - etamaths.com
The complex dynamics of a predator-prey system in discrete time are studied. In this system,
we consider the prey's Gompertz growth and the square-root functional response. The …

Dynamics on Effect of Prey Refuge Proportional to Predator in Discrete‐Time Prey‐Predator Model

GS Mahapatra, PK Santra, E Bonyah - Complexity, 2021 - Wiley Online Library
Prey‐predator models with refuge effect have great importance in the context of ecology.
Constant refuge and refuge proportional to prey are the most popular concepts of refuge in …

Dynamical analysis of a three-species discrete biological system with scavenger

AQ Khan, SS Kazmi - Journal of Computational and Applied Mathematics, 2024 - Elsevier
The main focus of this paper is to investigate the dynamical properties of a discrete prey–
predator model with scavenger in the interior of R+ 3. We have explored the local dynamics …

Bifurcation and chaos in a phytoplankton–zooplankton model with holling type-II response and toxicity

AQ Khan, HS Alayachi - International Journal of Bifurcation and …, 2022 - World Scientific
Phytoplankton and zooplankton's interconnection coordinate in various dynamical
processes that occur in ecological population and make it a fascinating subject matter to …

Rich dynamics of a discrete two dimensional predator–prey model using the NSFD scheme

K Mokni, M Ch-Chaoui, B Mondal, U Ghosh - Mathematics and Computers …, 2023 - Elsevier
In this paper, we consider a two-species predator–prey model with Holling type III functional
response and non-linear predator harvesting. The proposed model is discretized using a …

An analysis of the stability and bifurcation of a discrete-time predator–prey model with the slow–fast effect on the predator

R Ahmed, N Tahir, N Ali Shah - Chaos: An Interdisciplinary Journal of …, 2024 - pubs.aip.org
In many environments, predators have significantly longer lives and meet several
generations of prey, or the prey population reproduces rapidly. The slow–fast effect can best …

[HTML][HTML] Stability, collapse and hyperchaos in a class of tri-trophic predator–prey models

A McAllister, M McCartney, DH Glass - Physica A: Statistical Mechanics and …, 2023 - Elsevier
We present a set of four three-dimensional models inspired by predator–prey systems
involving a basal food source, prey, and predator, with each model including a variation in …