Global dynamics of a time-fractional spatio-temporal SIR model with a generalized incidence rate

A Bouissa, M Tahiri, N Tsouli, MR Sidi Ammi - Journal of Applied …, 2023 - Springer
This paper delves into the study of a diffusive SIR epidemic model characterized by reaction–
diffusion equations enriched with a fractional derivative within the Caputo framework. Within …

Global Dynamics Analysis of Non-Local Delayed Reaction-Diffusion Avian Influenza Model with Vaccination and Multiple Transmission Routes in the Spatial …

J Li, L Nie - Qualitative Theory of Dynamical Systems, 2024 - Springer
In order to reveal the transmission dynamics of Avian influenza and explore effective control
measures, we develop a non-local delayed reaction-diffusion model of Avian influenza with …

Threshold Dynamics and Probability Density Function of a Stochastic Multi-Strain Coinfection Model with Amplification and Vaccination

L Niu, Q Chen, Z Teng - Qualitative Theory of Dynamical Systems, 2024 - Springer
Multi-strain infectious diseases, which are usually prevented from spreading widely by
vaccination, have two main transmission mechanisms: competitive exclusion and co …

Dynamical behavior and optimal control of a stochastic SAIRS epidemic model with two saturated incidences

X Zhang, S Chen, J Yang - arXiv preprint arXiv:2405.09982, 2024 - arxiv.org
Stochastic models are widely used to investigate the spread of epidemics in a complex
environment. This paper extends a deterministic SAIRS epidemic model to a stochastic case …