Spatiotemporal dynamics of prey–predator model incorporating Holling-type II functional response with fear and its carryover effects

B Dubey, A Singh, A Anshu - Chaos: An Interdisciplinary Journal of …, 2024 - pubs.aip.org
The recent focus in the fields of biology and ecology has centered on the significant attention
given to the mathematical modeling and analyzing the spatiotemporal population …

Dynamic complexity of a slow-fast predator-prey model with herd behavior

A Suleman, R Ahmed, FS Alshammari… - AIMS …, 2023 - aimspress.com
The complex dynamics of a slow-fast predator-prey interaction with herd behavior are
examined in this work. We investigate the presence and stability of fixed points. By …

[HTML][HTML] Analyzing dynamics and stability of single delay differential equations for the dengue epidemic model

A Venkatesh, MP Raj, B Baranidharan - Results in Control and …, 2024 - Elsevier
This paper introduces a mathematical model that simulates the transmission of the dengue
virus in a population over time. The model takes into account aspects such as delays in …

Complex dynamics of Leslie–Gower prey–predator model with fear, refuge and additional food under multiple delays

A Gupta, A Kumar, B Dubey - International Journal of …, 2022 - World Scientific
In this paper, we analyze a system of delay differential equations incorporating prey's refuge,
fear, fear-response delay, extra food for predators and their gestation lag. First, we examined …

Explicit impacts of harvesting on a fractional-order delayed predator–prey model

B Bhunia, LT Bhutia, TK Kar, P Debnath - The European Physical Journal …, 2023 - Springer
We propose a fractional-order prey-predator model with delay and harvesting.
Comparatively, only a few analyses are made to explore the impact of harvesting on …

A stochastic predator–prey model with two competitive preys and Ornstein–Uhlenbeck process

Q Liu - Journal of Biological Dynamics, 2023 - Taylor & Francis
In this paper, a stochastic predator–prey model with two competitive preys and Ornstein–
Uhlenbeck process is formulated and analysed, which is used to obtain a better …

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 …

Qualitative properties and optimal control strategy on a novel fractional three-species food chain model

RN Premakumari, C Baishya, S Rezapour… - Qualitative Theory of …, 2024 - Springer
In this study, the dynamics of a novel three-species food chain model featuring the Sokol–
Howell functional response are explored. The fear of predators is incorporated into prey …