Predator–prey models: A review of some recent advances

É Diz-Pita, MV Otero-Espinar - Mathematics, 2021 - mdpi.com
In recent years, predator–prey systems have increased their applications and have given
rise to systems which represent more accurately different biological issues that appear in the …

Dynamic behaviors of Lotka–Volterra predator–prey model incorporating predator cannibalism

H Deng, F Chen, Z Zhu, Z Li - Advances in Difference Equations, 2019 - Springer
A Lotka–Volterra predator–prey model incorporating predator cannibalism is proposed and
studied in this paper. The existence and stability of all possible equilibria of the system are …

Stability, bifurcation, and chaos control of a novel discrete-time model involving Allee effect and cannibalism

MS Shabbir, Q Din, K Ahmad, A Tassaddiq… - Advances in Difference …, 2020 - Springer
This paper is related to some dynamical aspects of a class of predator–prey interactions
incorporating cannibalism and Allee effects for non-overlapping generations. Cannibalism …

Hopf bifurcation analysis of a predator–prey model with Holling-II type functional response and a prey refuge

Y Zhou, W Sun, Y Song, Z Zheng, J Lu, S Chen - Nonlinear Dynamics, 2019 - Springer
In this paper, a predator–prey model with Holling-II type functional response and a prey
refuge is considered. The existence of Hopf bifurcations at the positive fixed point is …

Controlling chaos and pattern formation study in a tritrophic food chain model with cannibalistic intermediate predator

N Kumari, V Kumar - The European Physical Journal Plus, 2022 - Springer
The present study constitutes the first systematic investigation on the effect of cannibalism on
a mid-level predator in a tritrophic food chain model. Moreover, it discusses the role of …

Dynamical complexity in a class of novel discrete-time predator-prey interaction with cannibalism

MS Shabbir, Q Din, R Alabdan, A Tassaddiq… - IEEE …, 2020 - ieeexplore.ieee.org
Cannibalism is ubiquitous in natural communities and has the tendency to change the
functional connection among prey-predator interactions. Keeping in view the inclusion of …

Stability analysis of plankton–fish dynamics with cannibalism effect and proportionate harvesting on fish

SG Mortoja, P Panja, SK Mondal - Mathematics, 2023 - mdpi.com
Plankton occupy a vital place in the marine ecosystem due to their essential role. However
small or microscopic, their absence can bring the entire life process to a standstill. In this …

Bifurcations and simulations of two predator–prey models with nonlinear harvesting

Y Lv, Y Pei, Y Wang - Chaos, Solitons & Fractals, 2019 - Elsevier
We propose and investigate a predator-prey model with selective nonlinear harvesting for
the prey and predator, such harvesting increases smoothly to a limit value when the density …

Dynamical Behavior of a Delayed Holling Type‐II Predator‐Prey Model with Predator Cannibalism

R Lavanya, S Vinoth, K Sathiyanathan… - Journal of …, 2022 - Wiley Online Library
In this article, we propose the Holling type‐II predator‐prey model involving cannibalism and
gestation delay in predators. We study the existence of all possible equilibrium points of the …

Exploring the dynamics of a Holling–Tanner model with cannibalism in both predator and prey population

A Al Basheer, RD Parshad, E Quansah… - International Journal …, 2018 - World Scientific
Cannibalism is an intriguing life history trait, that has been considered primarily in the
predator, in predator–prey population models. Recent experimental evidence shows that …