Global dynamics of a nonlocal PDE model for Lassa haemorrhagic fever transmission with periodic delays
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Publication:6537166
DOI10.1007/s40314-024-02662-1MaRDI QIDQ6537166
Tonghua Zhang, Wei Wang, Xiaoting Fan, Mengchen Zhou
Publication date: 14 May 2024
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
reaction-diffusion modelbasic reproduction numberglobal dynamicsLassa haemorrhagic feverperiodic delays
Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Stability theory for smooth dynamical systems (37C75) Traveling wave solutions (35C07)
Cites Work
- Unnamed Item
- Basic reproduction ratios for periodic compartmental models with time delay
- A theoretical approach to understanding population dynamics with seasonal developmental durations
- Modelling the effect of temperature on the seasonal population dynamics of temperate mosquitoes
- The systematic formulation of population models for insects with dynamically varying instar duration
- A reaction-diffusion malaria model with seasonality and incubation period
- Disrupting seasonality to control disease outbreaks: the case of koi herpes virus
- A mathematical model for Lassa fever transmission dynamics in a seasonal environment with a view to the 2017--20 epidemic in Nigeria
- Dynamics of a Zika virus transmission model with seasonality and periodic delays
- Threshold dynamics of a reaction-diffusion equation model for cholera transmission with waning vaccine-induced immunity and seasonality
- Mechanistic modelling of the large-scale Lassa fever epidemics in Nigeria from 2016 to 2019
- Basic reproduction ratios for periodic abstract functional differential equations (with application to a spatial model for Lyme disease)
- Complex dynamics of a time periodic nonlocal and time-delayed model of reaction-diffusion equations for modeling \(\mathrm{CD}4^+\) T cells decline
- Threshold dynamics of a time periodic reaction-diffusion epidemic model with latent period
- The epidemic threshold of vector-borne diseases with seasonality
- A reaction-diffusion model of vector-borne disease with periodic delays
- Abstract Functional Differential Equations and Reaction-Diffusion Systems
- Spatial Dynamics of a Nonlocal Periodic Reaction-Diffusion Model with Stage Structure
- Spectral Bound and Reproduction Number for Infinite-Dimensional Population Structure and Time Heterogeneity
- Global Attractors and Steady States for Uniformly Persistent Dynamical Systems
- Dynamical systems in population biology
- Dynamics of a reaction-advection-diffusion model for cholera transmission with human behavior change
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