New trends on the systems approach to modeling SARS-CoV-2 pandemics in a globally connected planet

Mathematical Models and Methods in Applied Sciences, Год журнала: 2024, Номер 34(11), С. 1995 - 2054

Опубликована: Апрель 19, 2024

This paper presents a critical analysis of the literature and perspective research ideas for modeling epidemics caused by SARS-CoV-2 virus. It goes beyond deterministic population dynamics to consider several key complexity features system under consideration. In particular, multiscale from contagion subsequent competition between immune proliferating Other topics addressed in this work include propagation territory, taking into account local transportation networks, heterogeneity population, study social economic problems populations involved spread epidemics. The overall content aims show how new mathematical tools can be developed address above models simulations contribute decision making crisis managers.

Язык: Английский

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Dynamics of a Stochastic Vector-Borne Model with Plant Virus Disease Resistance and Nonlinear Incidence

Symmetry, Год журнала: 2024, Номер 16(9), С. 1122 - 1122

Опубликована: Авг. 29, 2024

Symmetry in mathematical models often refers to invariance under certain transformations. In stochastic models, symmetry considerations must also account for the probabilistic nature of inter- actions and events. this paper, a vector-borne model with plant virus disease resistance nonlinear incidence is investigated. By constructing suitable Lyapunov functions, we show that if related threshold R0s<1, then will be extinct. using reproduction number R0, establish sufficient conditions existence ergodic stationary distribution model. Furthermore, explore results graphically numerical section find random fluctuations introduced can suppress spread disease, except increasing decreasing contact rate between infected plants susceptible vectors. The reveal correlation provide deeper insights into dynamics control, potentially leading more effective efficient management strategies.

Язык: Английский

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Multi-scale phenomena behind the transmission of infectious disease

Physics of Life Reviews, Год журнала: 2024, Номер 52, С. 53 - 54

Опубликована: Дек. 5, 2024

Язык: Английский

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