Year: 2015
Type: conference-paper
Abstract: In this work we consider a mathematical model based on a system of ordinary differential equations describing the evolution of population of dogs infected by leishmania diseases. By analyzing the corresponding characteristic equations, the local stability of infection free equilibrium point and infection equilibrium point are discussed. It is shown that if the basic reproduction number R0 is less than one, the infection free equilibrium is locally asymptotically stable, whereas if the basic reproduction number R0 is great than one the infection equilibrium point is locally asymptotically stable, and the infection free equilibrium is unstable.
Source: ITM Web of Conferences
Institution: Université Djilali de Sidi Bel Abbès
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W237177992