J4 ›› 2011, Vol. 46 ›› Issue (3): 80-88.
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DONG Chun-yan, FU Sheng-mao
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Abstract:
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.
Key words: 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.
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http://lxbwk.njournal.sdu.edu.cn/EN/Y2011/V46/I3/80
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