Results 41 to 50 of about 337 (161)

Global Analysis of a Liénard System with Quadratic Damping

Discrete Dynamics in Nature and Society, 2018
In this paper, the global analysis of a Liénard equation with quadratic damping is studied. There are 22 different global phase portraits in the Poincaré disc.
Feng Guo
doaj   +1 more source

A Numerical Study of Codimension-Two Bifurcations of an SIR-Type Model for COVID-19 and Their Epidemiological Implications

Communication in Biomathematical Sciences, 2023
We study the codimension-two bifurcations exhibited by a recently-developed SIR-type mathematical model for the spread of COVID-19, as its two main parameters -the susceptible individuals' cautiousness level and the hospitals' bed-occupancy rate- vary ...
Livia Owen, Jonathan Hoseana, Benny Yong
doaj   +1 more source

T(w)o Patch or Not T(w)o Patch: A Novel Biocontrol Model

Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14697-14743, 15 September 2026.
ABSTRACT A number of top‐down biocontrol models have been proposed where the introduced predators' efficacy is enhanced via the provision of additional food (AF). However, if the predator has a pest‐dependent monotone functional response, pest extinction is unattainable. In the current manuscript, we propose a model where a predator with pest‐dependent
Urvashi Verma, Aniket Banerjee, Rana D. Parshad   +2 more
wiley   +1 more source

Exploration of Soliton Solutions and Bifurcation Analysis in Fluid Dynamics Governed by M Fractional (3+1)‐Dimensional Generalized B‐Type Kadomtsev–Petviashvili (gBKP) Equation

Engineering Reports, Volume 8, Issue 2, February 2026.
Explore the soliton solutions, stability, and chaotic characteristics of the M fractional (3+1)‐dimensional generalized B‐type Kadomtsev–Petviashvili (gBKP) equation, where a Galilean transformation is performed to get the related system of equations.
Md. Habibul Bashar, Md. Abde Mannaf, Anika Rahman, Md. Shahinur Islam, Hure Zannatul Mawa, Parvin Akter   +5 more
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

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

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