BIFURCATION ANALYSIS OF A CHIKUNGUNYA TRANSMISSION MODEL
Using the center manifold theory, we performed the bifurcation analysis of a chikungunya transmission model. From the analysis, we have determined a condition depending on the disease transmission parameters under which the model undergoes a forward bifurcation and another condition under which a backward bifurcation occurs thus making difficult to control the disease. This study helps to guide strategies to fight against the spread of chikungunya.
ordinary differential equations, bifurcation analysis, center manifold theory.