Stability analysis of a fractional-order vector-bias model on malaria transmission

In this paper, a fractional-order vector-bias model on malaria transmission is presented and analyzed. First, the basic reproduction number R
₀
and the existence of equilibria are obtained. Further, the stability of the disease free equilibrium points and endemic equilibrium points are investigated. Then, Hopf bifurcation are proposed by choosing the fractional-order q
₁
as the bifurcation parameter. Finally, numerical simulations are presented to illustrate our theoretical results.