%0 Journal Article
%T On Oscillatory Pattern of Malaria Dynamics in a Population with Temporary Immunity
%A J. Tumwiine
%A J. Y. T. Mugisha
%A L. S. Luboobi
%J Computational and Mathematical Methods in Medicine
%D 2007
%I Hindawi Publishing Corporation
%R 10.1080/17486700701529002
%X 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.
%U http://www.hindawi.com/journals/cmmm/2007/737581/abs/