Results 41 to 50 of about 285 (136)
A semilinear transport equation with delays
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 32, Page 2011-2026, 2003., 2003 An analysis is provided for a model of the blood production system based on a cell population structured by a continuous variable corresponding to the maturity of individual cells. Cell maturity is viewed as an indicator of increasing morphological development, ranging from the most primitive stem cells to the most mature differentiated cells.
Janet Dyson +2 more
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Hopf bifurcation and Turing instability in a diffusive predator-prey model with hunting cooperation
Open Mathematics, 2022 In this article, we study Hopf bifurcation and Turing instability of a diffusive predator-prey model with hunting cooperation. For the local model, we analyze the stability of the equilibrium and derive conditions for determining the direction of Hopf ...
Miao Liangying, He Zhiqian
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Modeling and sensitivity analysis of HBV epidemic model with convex incidence rate
Results in Physics, 2021 In this article, we study the qualitative analysis of the Hepatitis B epidemic model with convex incidence rate. First, we formulate the model without control and study local and global stability.
Amir Khan +5 more
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Complex Dynamics and Chaos Control of Discrete Prey–Predator Model With Caputo Fractional Derivative
Complexity, Volume 2025, Issue 1, 2025.This work examines a discrete prey–predator model using the fractional derivative. The conditions for the existence and stability of the fixed points in the model are identified. The analysis is centered on exploring various bifurcations at the positive fixed point to understand their ecological implications.
Rowshon Ara +2 more
wiley +1 more source
Advances in Nonlinear Analysis, 2019 This paper is concerned with the periodic traveling fronts for partially degenerate reaction-diffusion systems with bistable and time-periodic nonlinearity.
Wu Shi-Liang, Hsu Cheng-Hsiung
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Fractional Age‐Structured Modeling of Measles: Application of Inverse Methods
Complexity, Volume 2025, Issue 1, 2025.This study introduces a novel fractional age‐structured Susceptibles‐Exposed‐Infective‐Hospitalized‐Recovered‐Adults (SEIHRA) model, designed to analyze measles transmission dynamics, particularly in younger populations. By incorporating age structure and an innovative inverse method, the model bridges mathematical rigor with empirical data. We examine
Yan Qiao +4 more
wiley +1 more source
Dynamic model of COVID-19 and citizens reaction using fractional derivative
Alexandria Engineering Journal, 2021 This paper presents dynamic model of COVID-19 and citizens reaction from a fraction of the population in Nigeria using fractional derivative. We consider the reported cases from February to June 2020 using fractional derivative. The Stability analysis of
R.B. Ogunrinde +4 more
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Fractional Order Plant‐Herbivore Dynamics: From Stability to Chaos Control
Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.This study investigates the dynamic behavior of a discrete‐time plant‐herbivore model incorporating conformable fractional‐order derivatives and a toxin‐dependent functional response. The model is discretized using a piecewise constant argument approach, enabling the analysis of memory effects and nonlocal interactions in ecological dynamics.
Güven Kaya +4 more
wiley +1 more source
International Journal of Differential Equations, Volume 2025, Issue 1, 2025.Gompertz dynamics offer significant applications for the growth of invasive species, cancer modeling, optimal harvesting policies, sustainable yield, and maintaining population levels due to its pattern formation in low‐density cases. This paper examines a widely applicable nonhomogeneous diffusive Gompertz law with zero Neumann boundary conditions ...
Md. Kamrujjaman +6 more
wiley +1 more source
An analysis of hybrid impulsive prey-predator-mutualist system on nonuniform time domains
Computational and Mathematical BiophysicsIn this work, we propose a hybrid impulsive prey-predator-mutualist model on nonuniform time domains. We have investigated the permanence/persistence results for the proposed model using the comparison theorems of impulsive differential equations and ...
Kumar Anil, Malik Muslim
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