We formulate a deterministic model for the transmission dynamics of malaria parasite in mosquito and human. The model, which allows for the transmission of the parasite, has a global asymptotic stable disease-free if a certain epidemiological threshold called the reproductive number is less than unity. We realized that the model has a unique academic equilibrium whenever this threshold exceeds unit. We proved that, using a Lyapunov function, that this endemic equilibrium is globally asymptotically stable whenever the basic reproduction number is greater than unity. We also carried out numerical simulations to support our analytical results.
CITATION STYLE
Bakare, E. A., & Nwozo, C. R. (2015). Mathematical analysis of the dynamics of malaria disease transmission model. International Journal of Pure and Applied Mathematics, 99(4), 411–437. https://doi.org/10.12732/ijpam.v99i4.3
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