J4 ›› 2011, Vol. 46 ›› Issue (3): 80-88.
• Articles •
DONG Chun-yan, FU Sheng-mao
An epidemic model for pest control is studied in this paper. The global stability of a unique positive constant steady state for the reaction-diffusion system is analyzed, and then a prior upper and lower bounds for all possible positive steady state are established. Finally, the formation of a stationary pattern for a cross-diffusion system is proved.
pest control model; cross-diffusion; global stability; steady state
DONG Chun-yan, FU Sheng-mao. The existence of non-constant positive steady state of an epidemic model for pest control[J].J4, 2011, 46(3): 80-88.
Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks