Advanced Mathematical Models & Applications
Advanced Mathematical Models & Applications is a peer-reviewed, open access journal meant to publish original and significant results and articles in all areas of mathematical modeling and their applications. The aim of this Journal is to bring together researchers and practitioners from academia and industry to establishing new collaborations in this area. The Journal will consider for publication also review articles, literature reviews, correspondence concerning views and information published in previous issues.
Mathematical Model of Malaria Transmission Dynamics: Evaluating the impact of Asymptomatic and Resistant Strains in Human Hosts
- Published: 03-12-2025
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The paper presents a mathematical model of malaria transmission dynamics that incorporates the asymptomatic stage and resistant strains in infectious humans. We identified the disease-free (free malaria) and endemic (persistence of malaria) equilibriums of the model. Using the basic reproduction number R0, we constructed a suitable Lyapunov function to demonstrate the global asymptotic stability (GAS) of the disease-free equilibrium point. When R0 ≤ 1, the disease-free equilibrium is global asymptotically stable. For R0 > 1 we analyzed the global asymptotic stability (GAS) of the endemic equilibrium. We conducted the local sensitivity analysis and numerical simulations for different scenarios. Our findings highlight the significant role of asymptomatic humans and resistant strains in the transmission dynamics of malaria. Therefore, the well-known strategies against malaria should be revised.
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