Results 61 to 70 of about 331 (165)
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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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
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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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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 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
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Estimating the Effect of Economic Crisis with Crump-Mode-Jagers Branching Process [PDF]
, 2015 [Trayanov Plamen; Траянов Пламен]; [Slavtchova-Bojkova Maroussia; Славчова-Бойкова Маруся]The Crump-Mode-Jagers branching process is used to model the populations of Bulgaria, Greece, Ireland, Italy, Portugal and Spain, which were influenced greatly by ...
Trayanov, Plamen +1 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
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Bifurcations and vertical distribution in a nonlocal phytoplankton-nutrient-detritus model
Advances in Nonlinear AnalysisThis study investigates a nonlocal reaction-diffusion-advection model for phytoplankton-nutrient-detritus systems, focusing on the existence of positive steady states and their vertical distribution.
Yan Xiao, Gu Chenjing, Nie Hua
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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
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Analysis of a parabolic–hyperbolic hybrid population model: an integrated semigroup approach
Advances in Nonlinear AnalysisThis paper is concerned with the global dynamics of a hybrid parabolic–hyperbolic model describing populations with distinct dispersal and sedentary stages.
Huang Qihua, Wang Minglong, Wu Yixiang
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