Mathematical Modelling of Epidemiological Infectious Disease Transmission Dynamics: Public Health Intervention Strategies

Vollständiger Abstract

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This study explores the epidemiological infectious disease transmission dynamics with public health intervention strategies using nonlinear ordinary differential equations with four compartments in a mathematical modeling approach. The study identified two major public intervention strategies as preventive and treatment measures. The findings of this study are that the region D of the subset is a positively-invariant set mathematically and epidemiologically from the model equation (1) as a result of the two intervention measures as t→ . The negative eigenvalues depict that the DFE of the system is locally asymptotically stable for 𝑅𝑒1; 𝜌>0 and 𝜓=0 shows no delay in preventive measures but there is delay in the treatment strategies; that preventive intervention strategies is greater than treatment for the infectious disease and gives birth to a backward bifurcation in the model system at 𝑅𝑒=1; 𝑅0is the basic reproduction number of the model replicated itself in terms of 𝑅𝜌 as the effective reproduction number in the presence of preventive approach and 𝑅𝜓is the effective reproduction number in the presence of treatment control this means that the DFE is GAS in the region if 𝑅𝑒