Dynamical systems analysis of a reaction-diffusion SIRS model with optimal control for the COVID-19 spread

被引：0

作者：

Salman, Amer M. ^{[1
]}

Mohd, Mohd Hafiz ^{[1
]}

机构：

[1] Univ Sains Malaysia, Sch Math Sci, George Town, Malaysia

来源：

COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING | 2024年

关键词：

Partial differential equation; reinfection; limited medical resources; optimal control problem; infectious diseases; human disease; LIMITED MEDICAL RESOURCES; EPIDEMIC MODEL; STRATEGIES; INDIA;

D O I：

10.1080/10255842.2024.2423879

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We examine an SIRS reaction-diffusion model with local dispersal and spatial heterogeneity to study COVID-19 dynamics. Using the operator semigroup approach, we establish the existence of disease-free equilibrium (DFE) and endemic equilibrium (EE), and derive the basic reproduction number, R0. Simulations show that without dispersal, reinfection and limited medical resources problems can cause a plateau in cases. Dispersal and spatial heterogeneity intensify localised outbreaks, while integrated control strategies (vaccination and treatment) effectively reduce infection numbers and epidemic duration. The possibility of reinfection demonstrates the need for adaptable health measures. These insights can guide optimised control strategies for enhanced public health preparedness.

引用

页数：18

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