Stability Analysis of a Vector-Borne Disease with Variable Human Population

الملخص EN

A mathematical model of a vector-borne disease involving variable human population is analyzed.

The varying population size includes a term for disease-related deaths.

Equilibria and stability are determined for the system of ordinary differential equations.

If R0≤1, the disease-“free” equilibrium is globally asymptotically stable and the disease always dies out.

If R0>1, a unique “endemic” equilibrium is globally asymptotically stable in the interior of feasible region and the disease persists at the “endemic” level.

Our theoretical results are sustained by numerical simulations.