@Article{CMR-26-1, author = {Li, Jianjun and Wenjie, Gao and Sun, Peng}, title = {Analysis of a Prey-Predator Model with Disease in Prey}, journal = {Communications in Mathematical Research }, year = {2010}, volume = {26}, number = {1}, pages = {27--40}, abstract = {
In this paper, a system of reaction-diffusion equations arising in eco-epidemiological systems is investigated. The equations model a situation in which a predator species and a prey species inhabit the same bounded region and the predator only eats the prey with transmissible diseases. Local stability of the constant positive solution is considered. A number of existence and non-existence results about the non-constant steady states of a reaction diffusion system are given. It is proved that if the diffusion coefficient of the prey with disease is treated as a bifurcation parameter, non-constant positive steady-state solutions may bifurcate from the constant steady-state solution under some conditions.
}, issn = {2707-8523}, doi = {https://doi.org/2010-CMR-19175}, url = {https://global-sci.com/article/81892/analysis-of-a-prey-predator-model-with-disease-in-prey} }