TY - JOUR
T1 - Analysis of a Prey-Predator Model with Disease in Prey
AU - Li , Jianjun
AU - Gao , Wenjie
AU - Sun , Peng
JO - Communications in Mathematical Research 
VL - 1
SP - 27
EP - 40
PY - 2021
DA - 2021/05
SN - 26
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/19175.html
KW - eco-epidemiology, bifurcation, non-constant positive steady solution.
AB - <p style="text-align: justify;">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.</p>