Results 51 to 60 of about 890 (173)

Stability Regions and Bifurcation Analysis of a Delayed Tumor Therapy Model Using Oncolytic Virus

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
We consider the dynamics of a tumor therapy model using oncolytic viruses with time delay. The model is a two‐dimensional system of ordinary differential equations with a delay term that represents the latent period required for viral replication following the infection of tumor cells.
Leniy Eka Watiy, Fajar Adi-Kusumo, Elena Braverman   +2 more
wiley   +1 more source

Bifurcation Behavior Analysis in a Predator-Prey Model

Discrete Dynamics in Nature and Society, 2016
A predator-prey model is studied mathematically and numerically. The aim is to explore how some key factors influence dynamic evolutionary mechanism of steady conversion and bifurcation behavior in predator-prey model.
Nan Wang, Min Zhao, Hengguo Yu, Chuanjun Dai, Beibei Wang, Pengfei Wang   +5 more
doaj   +1 more source

Bifurcations and Structures of the Parameter Space of a Discrete-Time SIS Epidemic Model

Journal of Mathematics, 2022
The dynamics of a discrete-time SIS epidemic model are reported in this paper. Three types of codimension one bifurcation, namely, transcritical, flip, Neimark–Sacker (N-S) bifurcations, and their intersection codimension two bifurcations including 1 : 2,
Yun Liu, Xijuan Liu
doaj   +1 more source

Lyapunov Stability and Optimization of a Fractional‐Order HIV/AIDS Model Coupling Vertical Transmission With Saturated Treatment

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
This research introduces a fractional‐order nonlinear model for the dynamics of human immunodeficiency virus (HIV) and acquired immune deficiency syndrome (AIDS) using Caputo‐type derivatives of noninteger order. Solution properties of the model are investigated by analyzing positivity and boundedness characteristics via the generalized mean value ...
Sulaimon F. Abimbade, Furaha M. Chuma, Samson Olaniyi, Adekunle O. Sangotola, Gideon K. Gogovi, Shikha Binwal   +5 more
wiley   +1 more source

Strategic Awareness‐Driven Control of Tuberculosis Dynamics: A Differential Equation Framework

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This study develops a deterministic differential equation framework to investigate tuberculosis (TB) transmission while incorporating patient awareness as a behavioral factor influencing treatment initiation and disease dynamics. A core methodological innovation of this study is the explicit integration of behavioral determinants specifically patient ...
Mideksa Tola Jiru, Sathish Kumar Kumaravel, Kassahun Getnet Mekonen, M. Kaviyarasu, Manzoor Hussain   +4 more
wiley   +1 more source

Analysis of a Fractional‐Order Mathematical Model on Crime Dynamics Incorporating Police Force and Rehabilitation

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study addresses the limitation of traditional integer‐order crime models that fail to capture memory‐dependent dynamics in criminal behavior. Our objective is to develop and analyze a novel fractional‐order model incorporating media influence, police force, and rehabilitation strategies using the Liouville−Caputo derivative.
Waleed Adel, Mohammad Izadi, Shewafera Wondimagegnhu Teklu, Manalebish Debalike Asfaw, Chang Phang   +4 more
wiley   +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

Continuation‐Enhanced Harmonic Balance Method for Nonlinear Dynamics in Rotating Machinery

Shock and Vibration, Volume 2026, Issue 1, 2026.
Nonlinear response conception in rotating machinery, particularly in systems with squeeze film dampers (SFDs), pose significant challenges for established time‐domain numerical methods due to bifurcations and critical points along the response trajectories.
Muhammad Umar, Charles Nutakor, Jussi Sopanen, Yan Niu   +3 more
wiley   +1 more source

Diffusive Resource–Consumer Dynamics With the Simplest Learning Mechanism and Nonlocal Memory Usage

Mathematical Methods in the Applied Sciences, Volume 48, Issue 18, Page 16433-16444, December 2025.
ABSTRACT To describe cognitive consumers' movement, we study a diffusive resource–consumer model with nonlocal memory usage described by a system of parabolic equations, which is coupled with spatial memory dynamics described by a linear learning equation.
Qigang Deng, Ranchao Wu, Hao Wang
wiley   +1 more source

Rich Dynamics of a Predator-Prey System with Different Kinds of Functional Responses

Complexity, 2020
In this study, we investigate a mathematical model that describes the interactive dynamics of a predator-prey system with different kinds of response function. The positivity, boundedness, and uniform persistence of the system are established.
Kankan Sarkar, Subhas Khajanchi, Prakash Chandra Mali, Juan J. Nieto   +3 more
doaj   +1 more source