Bifurcation of subharmonic in Lassa fever epidemic model

Standard epidemiological theory and concepts such as the basic reproductive number R-0 no longer apply or enough to determine stability, and the implications for interventions that themselves may be periodic have not been formally examined. This study considers seasonal variation of rodent on the transmission dynamics of Lassa fever. Applying perturbation method, stable subharmonic bifurcation solutions of period n are proved to coexist simultaneously and an infinite number of stable subharmonic bifurcation solutions are established. This study suggests that transmission of Lassa fever can be curbed by fighting the proliferation of rodent especially during the wet season.