An Age Structured Malaria Transmission Dynamics Model Incorporating Severe and Uncomplicated Infections Compartments
DOI:
https://doi.org/10.62054/ijdm/0302.12Abstract
In this study, a mathematical model of malaria was formulated. System of ordinary differential equations were used to described the transmission dynamics of the malaria disease in an age-structured population. The model is proved to be mathematically well-posed and epidemiologically feasible. The Malaria free equilibrium was obtained, and the method of next generation matrix approach were employed to determine the basic reproduction number . The analysis of the malaria-free equilibrium shows that; the system is locally asymptotically stable if and unstable if The approach by Castillo-Chavez was employed to determine the global stability analysis of the Malaria-free equilibrium. The result of the global stability analysis show that, the system is locally asymptotically stable when and unstable if This indicates that, the Malaria transmission elimination is only possible if the threshold parameter is kept below unity. Therefore, all efforts must be geared towards ensuring that the minimum number of secondary infections is less than one in both children and adult populations respectively.
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Data Availability Statement
The research is an ongoing work. Presented here is the phase I which comprises only the qualitative analysis. Phase II will be presented in due course when data is obtain from various sources on malaria transmission such as Nimet.
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