DEVELOPING A MATHEMATICAL MODEL GOVERNING THE SPREAD AND TRANSMISSION OF MALARIA BY FEMALE ANOPHELES MOSQUITO
P. M. WANJAU *
School of Mathematics and Actuarial Science, Technical University of Kenya, Box 52428 -00200 Nairobi, Kenya.
G. W. GACHIGUA
School of Mathematics and Actuarial Science, Technical University of Kenya, Box 52428 -00200 Nairobi, Kenya.
*Author to whom correspondence should be addressed.
Abstract
According to world health organization [WHO] medical records, malaria has a global fatality of 200 million people annually. Most of the victims are mainly children and expectant women. In this work a deterministic model has been developed to show the transmission of malaria. The model consists of ordinary differential equations (ODEs) which describe how malaria spreads. Existence of equilibrium points was analyzed and the key to the analysis was by defining the basic Reproduction number (R0). Numerical simulations was performed by MatLab solver.
Keywords: Female anopheles mosquito, basic reproduction number, disease free equilibrium