Stability and Bifurcation Analysis of a Discrete Severe Fever with Thrombocytopenia Syndrome Model

Abstract

Severe fever with thrombocytopenia syndrome (SFTS) is an acute tick-borne disease caused by SFTS virus (SFTSV). In this paper, we use difference equations to establish a discrete tick-borne disease model with systemic and transovarial transmission. Using the method of the next generation of matrix, we get the basic reproduction number [Formula: see text] to determine whether SFTS will die out. Furthermore, we analyze the existence and stability of equilibrium points by [Formula: see text]. In addition, the transcritical bifurcation property at the disease-free equilibrium point is discussed by deriving a equation describing the flow on the center manifold. Finally, we perform numerical simulations to verify the theoretical results.