Memory effect on prey–predator dynamics: Exploring the role of fear effect, additional food and anti-predator behaviour of prey

S Debnath, P Majumdar, S Sarkar, U Ghosh - Journal of Computational …, 2023 - Elsevier
Memory over past events has great importance on the survival of species in an ecological
system. It is helpful in searching favourite food, escaping from predator attacks, group …

A discrete evolutionary Beverton–Holt population model

M Ch-Chaoui, K Mokni - International Journal of Dynamics and Control, 2023 - Springer
This paper deals with the derivation of a discrete evolutionary Beverton–Holt system. The
model is built using evolutionary game theory methodology, which may be used to describe …

Complex dynamics and bifurcation analysis for a Beverton–Holt population model with Allee effect

K Mokni, M Ch-Chaoui - International journal of biomathematics, 2023 - World Scientific
In this paper, we have derived a discrete evolutionary Beverton–Holt population model. The
model is built using evolutionary game theory methodology and takes into consideration the …

Bifurcation and chaos in a discrete-time fractional-order logistic model with Allee effect and proportional harvesting

HS Panigoro, M Rayungsari, A Suryanto - International Journal of …, 2023 - Springer
The Allee effect and harvesting always get a pivotal role in studying the preservation of a
population. In this context, we consider a Caputo fractional-order logistic model with the …

Complex dynamics of two prey–predator harvesting models with prey refuge and interval‐valued imprecise parameters

Y Tian, H Guo, K Sun - Mathematical Methods in the Applied …, 2023 - Wiley Online Library
In view of the phenomena that species in nature are affected by the complexity of the
ecosystem, some key biological parameters have certain inaccuracy or uncertainty and part …

A dynamic interplay between Allee effect and time delay in a mathematical model with weakening memory

A Gökçe - Applied Mathematics and Computation, 2022 - Elsevier
This paper deals with a model of population dynamics comprising Allee effect and
weakening memory with constant time delays. Since predator density depends on the prey …

Chaotic Dynamics and Control of a Discrete‐Time Chen System

SMS Rana, MJ Uddin, PK Santra… - Mathematical …, 2023 - Wiley Online Library
We investigate a discrete‐time Chen system. First, we give the topological classifications of
the fixed points of this system. Then, we analytically show that the discrete Chen system …

The influence of past in a population system involving intraspecific competition and Allee effect

A Gökçe - The European Physical Journal Plus, 2022 - epjplus.epj.org
This paper investigates a predator-prey model incorporating Allee effect and intraspecific
competition with fading memory. In fact, the rate of past influence may have an essential role …

Bifurcation Analysis and 0-1 Chaos Test of a Discrete T System

SMS Rana - Chaos Theory and Applications, 2023 - dergipark.org.tr
This study examines discrete-time T system. We begin by listing the topological divisions of
the system's fixed points. Then, we analytically demonstrate that a discrete T system sits at …

Unraveling the combined actions of a Holling type III predator–prey model incorporating Allee response and memory effects

MR Ali, S Raut, S Sarkar… - … and Mathematical Methods, 2021 - Wiley Online Library
In this article, we have studied a memory dependent prey–predator model with logistic type
prey growth subject to the Allee effect and Holling type‐III functional response. To include …