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1 106/2 數學系 郭忠勝 教授 期刊論文 發佈 Asymptotic behavior of solutions to a class of diffusive predator-prey systems , [106-2] :Asymptotic behavior of solutions to a class of diffusive predator-prey systems期刊論文Asymptotic behavior of solutions to a class of diffusive predator-prey systemsArnaud Ducrot; Jong-Shenq GuoPredator–prey system;Asymptotic behavior;PersistenceJournal of Evolution Equations, 18, 755-775We study the large time behavior of a class of diffusive predator–prey systems posed on the whole Euclidean space. By studying a family of similar problems with all possible spatial translations, we first prove the asymptotic persistence of the prey for the spatially heterogeneous case under certain assumptions on the coefficients. Then, applying this persistence theorem, we prove the convergence of the solution to the unique positive equilibrium for the spatially homogeneous case, under certain restrictions on the space dimension and the predation coefficient.en_US1424-3202國外SCI;Jong-Shenq Guo是CHE
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