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Global Stability for Fractional Diffusion Equations in Biological Systems
Complex, 2020 This paper proposes a new method of construction of Lyapunov functionals for the dynamical systems described by fractional differential equations and fractional partial differential equations. The proposed method is rigorously presented. Furthermore, the
K. Hattaf, N. Yousfi
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A General Multipatch Model of Ebola Dynamics
Nonautonomous Dynamical Systems, 2021 A model for the transmission dynamics of Ebola virus in a multipatch network setting is studied. The model considers the contribution to the dynamics by people who are susceptible, infectious, isolated, deceased but still infectious and not yet buried ...
Rebaza Jorge
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Global Stability of Epidemic Models With Imperfect Vaccination and Quarantine on Scale-Free Networks [PDF]
IEEE Transactions on Network Science and Engineering, 2018 Public health services are constantly searching for ways to reduce the spread of infectious diseases, such as public vaccination of asymptomatic individuals, quarantine and treatment of symptomatic individuals. In this paper, we introduce epidemic models
Shanshan Chen, M. Small, Xinchu Fu
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Modeling Citrus Huanglongbing transmission within an orchard and its optimal control
Mathematical Biosciences and Engineering, 2020 Citrus Huanglongbing (HLB) is the most devastating citrus disease worldwide. In this paper, a deterministic dynamical model is proposed to explore the transmission dynamics of HLB between citrus tree and Asian citrus psyllid (ACP).
Fumin Zhang +4 more
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Sum-of-squares of polynomials approach to nonlinear stability of fluid flows: an example of application [PDF]
, 2015 With the goal of providing the first example of application of a recently proposed method, thus demonstrating its ability to give results in principle, global stability of a version of the rotating Couette flow is examined.
Chernyshenko, SI +5 more
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Global Stability in Large Economies
Economic Theory Bulletin, 2023 Abstract A result is obtained showing how global stability of equilibrium, under the standard tâtonnement dynamic, arises in large economies having a continuous, diffuse distribution of consumers, as well as many goods.
Donald Keenan, Taewon Kim
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Electronic Research Archive, 2022 In this paper, our purpose is to discuss the global dynamics of a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response and prey-taxis under homogeneous Neumann boundary conditions.
Jialu Tian, Ping Liu
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Global Stabilization Via Local Stabilizing Actions [PDF]
IEEE Transactions on Automatic Control, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Global stability of a delayed and diffusive virus model with nonlinear infection function
Journal of Biological Dynamics, 2021 This paper studies a delayed viral infection model with diffusion and a general incidence rate. A discrete-time model was derived by applying nonstandard finite difference scheme. The positivity and boundedness of solutions are presented.
Yan Geng, Jinhu Xu
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An SEIR model with infectious latent and a periodic vaccination strategy
Mathematical Modelling and Analysis, 2021 An SEIR epidemic model with a nonconstant vaccination strategy is studied. This SEIR model has two disease transmission rates β1 and β2 which imitate the fact that, for some infectious diseases, a latent person can pass the disease into a susceptible one.
Islam A. Moneim
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