关键词: Semilinear parabolic systems, asymptotic behavior, upper and lower solutions method, L^p-estimate, duality technique, semigroup theorem

Abstract: This paper proves the asymptotic behaviour for a class of reaction-diffusion system in bacteriology by using duality technique, semigroup theorem, L^p-estimates and upper and lower solutions method.

Key words: Semilinear parabolic systems, asymptotic behavior, upper and lower solutions method, L^p-estimate, duality technique, semigroup theorem