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Spatiotemporal dynamics of prey–predator model incorporating Holling-type II functional response with fear and its carryover effects
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 …
given to the mathematical modeling and analyzing the spatiotemporal population …
Dynamic complexity of a slow-fast predator-prey model with herd behavior
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 …
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
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 …
virus in a population over time. The model takes into account aspects such as delays in …
[PDF][PDF] Stability, bifurcation, and chaos control in a discrete predator-prey model with strong allee effect
This work considers a discrete-time predator-prey system with a strong Allee effect. The
existence and topological classification of the system's possible fixed points are …
existence and topological classification of the system's possible fixed points are …
Complex dynamics of Leslie–Gower prey–predator model with fear, refuge and additional food under multiple delays
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 …
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
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 …
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 …
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 …
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
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 …
Howell functional response are explored. The fear of predators is incorporated into prey …
Role reversals in a Tri-Trophic Prey–Predator interaction system: A model-based study using deterministic and stochastic approaches
It is frequently observed that adult members of prey species sometimes use their predation
mechanism on juvenile members of predator species. Ecological literature describes this …
mechanism on juvenile members of predator species. Ecological literature describes this …