Author/Authors :
II Kouenkama, J. P Laboratory of Applied Mathematics - Department of Mathematics - Faculty of Science - University of Yaounde I, Yaounde, Cameroon , Chendjoua, G. Laboratory of Applied Mathematics - Department of Mathematics - Faculty of Science - University of Yaounde I, Yaounde, Cameroon , Mbanga, j Laboratory of Applied Mathematics - Department of Mathematics - Faculty of Science - University of Yaounde I, Yaounde, Cameroon , Emvudua, Y Laboratory of Applied Mathematics - Department of Mathematics - Faculty of Science - University of Yaounde I, Yaounde, Cameroon
Abstract :
The aim of this paper is to provide a stability analysis for models with a general
structure and mass action incidence; which include stage progression susceptibility, differential
infectivity as well, and the loss of immunity induced by the vaccine also. We establish that
the global dynamics are completely determined by the basic reproduction number R0. More
specifically, we prove that when R0 is smaller or equal to one, the disease free equilibrium is
globally asymptotically stable; while when it is greater than one, there exist a unique endemic
equilibrium. We also provide sufficient conditions for the global asymptotic stability of the
endemic equilibrium.
Keywords :
Differential susceptibility , Differential infectivity , Waning vaccine induced immunity , Lyapunov methods
