Results 41 to 50 of about 1,843 (161)

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

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

On the Takens-Bogdanov Bifurcation in the Chua’s Equation [PDF]

, 1999
The analysis of the Takens-Bogdanov bifurcation of the equilibrium at the origin in the Chua’s equation with a cubic nonlinearity is carried out. The local analysis provides, in first approximation, different bifurcation sets, where the presence of ...
Algaba Durán, Antonio, Freire Macías, Emilio, Gamero Gutiérrez, Estanislao, Rodríguez Luis, Alejandro José   +3 more
core  

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

A proof of Perko's conjectures for the Bogdanov-Takens system

, 2013
The Bogdanov-Takens system has at most one limit cycle and, in the parameter space, it exists between a Hopf and a saddle-loop bifurcation curves. The aim of this paper is to prove the Perko's conjectures about some analytic properties of the saddle-loop
Gasull, Armengol, Giacomini, Hector, Perez-Gonzalez, Set, Torregrosa, Joan   +3 more
core   +3 more sources

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

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

Anomalous scaling behavior in Takens-Bogdanov bifurcations

, 1998
A general algorithm is presented for estimating the nonlinear instability threshold, $\sigma_c$, for subcritical transitions in systems where the linearized dynamics is significantly non-normal (i.e. subcritical bifurcations of {\em Takens-Bogdanov} type)
Baggett, Baggett, Boberg, Bogdanov, Crawford, E.R. Tracy, Farrell, Gephardt, Golub, Guckenheimer, Holmes, McCaughan, Orr, Press, Takens, Trefethen, Waleffe, X.-Z. Tang   +17 more
core   +1 more source

Hydra Effect and Harvesting Optimal Policy in a Generalist Predator Prey Model With General Holling Type Response Functions

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
This study illustrates selective and combined harvesting efforts to examine the existence of hydra effect and global MSTY (maximum sustainable total yield) in a generalist predator–prey mathematical model with general Holling type response functions. The hydra effect is an ecological paradox in which a species’ population size increases in response to ...
Solomon Molla Alemu, Mohammed Yiha Dawed, Tesfaye Tefera Mamo, Theodore Simos   +3 more
wiley   +1 more source