On oscillatory pattern of malaria dynamics in a population with temporary immunity

Loading...
Thumbnail Image
Date
2007
Journal Title
Journal ISSN
Volume Title
Publisher
Taylor & Francis
Abstract
We use a model to study the dynamics of malaria in the human and mosquito population to explain the stability patterns of malaria. The model results show that the disease-free equilibrium is globally asymptotically stable and occurs whenever the basic reproduction number, R0 is less than unity. We also note that when R0 . 1, the disease-free equilibrium is unstable and the endemic equilibrium is stable. Numerical simulations show that recoveries and temporary immunity keep the populations at oscillation patterns and eventually converge to a steady state.
Description
Keywords
Malaria, Oscillatory pattern, Temporary immunity, Endemic stability
Citation
Tumwiine, J., Mugisha, J. Y. T., & Luboobi, L. S. (2007). On oscillatory pattern of malaria dynamics in a population with temporary immunity. Computational and Mathematical Methods in Medicine, 8(3), 191-203. doi:10.1080/17486700701529002
Collections