Dynamics of a population model controlling the spread of plague in prairie dogs (original) (raw)

The infestation of prairie dog population with the deadly Yersinia Pestis has been recently the object of investigation of numerous biologists due to the potentially high risk of contamination of the human population. In the present paper we construct and analyze a model describing the interaction between the prairie dog population (as the host population) and the flea population (as the vector population) and derive the existence (under certain conditions impose to the main parameter) of an equilibrium that plays the role of a global attractor. Key–Words: Stability of Equilibria, Global attractor, Bifurcation.