Browsing by Author "Talelign Tatek"

Now showing 1 - 1 of 1
  • No Thumbnail Available
    Item
    Endemic Malaria Dynamics with Variable Human and Mosquito Populations
    (Addis Ababa University, 2024-08) Talelign Tatek; Kassahun Workalemahu
    A malaria disease transmission dynamics analysis is done using a deterministic differential equation model for endemic malaria dynamics that incorporates a variable human and mosquito population. Disease free and endemic equilibrium points are calculated and their stability is discussed. For this analysis, a threshold parameter 𝑅 ̃ 𝑜 is calculated. The disease can continue only if 𝑅 ̃ 𝑜 is greater than 1and the disease-free equilibrium point is globally stable when 𝑅 ̃ 𝑜 is less than 1.We have also shown that there exists an endemic equilibrium point for the model. Numerical stimulation is used to demonstrate the population dynamics and its dependence in the threshold parameter.