Results 41 to 50 of about 99,559 (165)

Bogdanov-Takens bifurcation of codimension $3$ in the Gierer-Meinhardt model [PDF]

, 2023
Bifurcation of the local Gierer-Meinhardt model is analyzed in this paper. It is found that the degenerate Bogdanov-Takens bifurcation of codimension 3 happens in the model, except that teh saddle-node bifurcation and the Hopf bifurcation.
Yang, Lingling, Wu, Ranchao
core   +1 more source

Bogdanov-Takens and Triple Zero Bifurcations of a Delayed Modified Leslie-Gower Predator Prey System

Abstract and Applied Analysis, 2013
A delayed modified Leslie-Gower predator prey system with nonlinear harvesting is considered. The existence conditions that an equilibrium is Bogdanov-Takens (BT) or triple zero singularity of the system are given. By using the center manifold reduction,
Xia Liu, Jinling Wang
doaj   +1 more source

A Survey of SIR‐Based Differential Epidemic Models for Control and Security Against Malware Propagation in Computer Networks

SECURITY AND PRIVACY, Volume 9, Issue 1, January/February 2026.
ABSTRACT Unarguably, malware and their variants have metamorphosed into objects of attack and cyber warfare. These issues have directed research focus to modeling infrastructural settings and infection scenarios, analyzing propagation mechanisms, and conducting studies that highlight optimized remedial measures.
Chukwunonso Henry Nwokoye
wiley   +1 more source

Bifurcation Analysis and Qualitative Dynamics of the Time‐Delayed Holling–Tanner Prey‐Predator Model

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
In this study, we work on a Holling–Tanner prey‐predator (HTPP) model by incorporating the impact of predator cannibalism and later introducing a delay in prey growth. We first examine its behavior without delay: we identify equilibrium points, describe their stability, and explain when the system remains stable or goes into oscillation.
Muhammad Waqas Yasin, Nauman Ahmed, Ali Raza, Khadija Akbar, Emad Fadhal, Hadil Alhazmi, Kang-Jia Wang   +6 more
wiley   +1 more source

Bifurcation Analysis of Bogdanov-Takens Bifurcations in Delay Differential Equations [PDF]

In this paper, we will perform the parameter-dependent center manifold reduction near the generic and transcritical codimension two Bogdanov-Takens bifurcation in classical delay differential equations.
Kuznetsov, Yu. A., Bosschaert, M.M., Kuznetsov, Yu A., BOSSCHAERT, Maikel   +3 more
core   +2 more sources

Complex Dynamics of a Predator–Prey System With Fear Effect in Prey

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This study investigates the dynamical consequences of predator‐induced fear in a predator–prey system by integrating nonlinear fear effects, intraspecific competition, and Holling type II predation. We analyze both continuous‐ and discrete‐time formulations to capture a wide spectrum of ecological dynamics.
Anal Chatterjee, Muhammad Aqib Abbasi, Stacey R. Smith?, Mainul Haque, Soufiane Bentout   +4 more
wiley   +1 more source

Bifurcation in a Leslie–Gower system with fear in predators and strong Allee effect in prey

Nonlinear Analysis
In this paper, we consider a modified Leslie–Gower predator–prey model with Allee effect on prey and fear effect on predators. Results show complex dynamical behaviors in the model with these factors.
Ranchao Wu, Wenkai Xiong
doaj   +1 more source

The Effects of Fluctuating Carrying Capacity on the Dynamics of a Holling‐Type III Predator–Prey Model

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study investigates the complex dynamics of a predator–prey system governed by the classical Lotka–Volterra model incorporating a Holling‐type III. To capture environmental variability, the prey’s carrying capacity is modeled as a periodic function, introducing a time‐dependent forcing into the system.
Ali Sarrah, Faizah J. Alanazi, Mehmet Yavuz, Sayed Saber, Mengxin Chen   +4 more
wiley   +1 more source

Nonlinear dynamics in a fear‐driven predator–prey system: Bistability, bifurcations, hydra effect, and optimal harvesting

Mathematical Methods in the Applied Sciences, Volume 48, Issue 2, Page 2194-2223, 30 January 2025.
The impact of predator‐driven fear on ecosystems is significant and can encompass both trophic (direct) and nontrophic (indirect) effects. Previous studies have shown that nontrophic fear effects have an important role in predator–prey dynamics. This study investigates the nontrophic fear effect on prey caused by generalist predators and explores ...
Anuj Kumar Umrao, Sonu Lamba, Prashant K. Srivastava   +2 more
wiley   +1 more source

Local Bifurcation and Global Stability of Two‐Prey‐One‐Predator Model

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
This paper deals with dynamical analysis of an ecological model. This model includes two logistically growing prey species, namely, Prey X and Prey Y, and the third species Z behaves as the predator, predating both Prey X and Prey Y according to the extended Holling type‐II functional response.
Hanaa Jamal Ahmed, Kawther Yusuf Abdulrahman, Karzan Abdulrahman Hamzah, Arkan Nawzad Mustafa, Mohamed A. Eltaher   +4 more
wiley   +1 more source