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

Muhammad Ozair, Abid Ali Lashari, Il Hyo Jung, Young Il Seo and Byul Nim Kim

Abstract and Applied Analysis, 2013, vol. 2013, 1-12

Abstract:

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 , the disease-“free†equilibrium is globally asymptotically stable and the disease always dies out. If , 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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:293293

DOI: 10.1155/2013/293293

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