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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
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This paper is concerned with the traveling wave solutions of nonlocal dispersal models with nonlocal delays. The existence of traveling wave solutions is investigated by the upper and lower solutions, and the asymptotic behavior of traveling wave solutions is studied by the idea of contracting rectangles. To illustrate these results, a delayed competition model is considered by presenting the existence and nonexistence of trav- eling wave solutions, which completes and improves some known results.
In particular, our conclusions can deal with the traveling wave solutions of evolutionary systems which admit large time delays reflecting intra- specific competition in population dynamics and leading to the failure of comparison principle in literature.
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참고문헌 (27)
참고문헌 신청
G. Lin / / Traveling wave solutions for delayed reaction-diffusion systems and applications to Lotka-Volterra competition-diffusion models with distributed delays / J. Dynam. Diff. Eq
G. Zhang / 2009 / Traveling waves in delayed predator-prey systems with nonlocal diffusion and stage structure / Math. Comput. Modelling 49 (5-6) : 1021 ~ 1029
G. Zhang / 2012 / Spreading speeds and traveling waves fo
H. L. Smith / 1995 / Monotone Dynamical Systems: An Introduction to the Theory of Competitive and Cooperative Systems / AMS
J. Carr / 2004 / Uniqueness of travelling waves for nonlocal monostable equations / Proc. Amer. Math. Soc 132 (8) : 2433 ~ 2439
G. Zhang / 2009 / Traveling waves in delayed predator-prey systems with nonlocal diffusion and stage structure / Math. Comput. Modelling 49 (5-6) : 1021 ~ 1029
G. Zhang / 2012 / Spreading speeds and traveling waves fo
H. L. Smith / 1995 / Monotone Dynamical Systems: An Introduction to the Theory of Competitive and Cooperative Systems / AMS
J. Carr / 2004 / Uniqueness of travelling waves for nonlocal monostable equations / Proc. Amer. Math. Soc 132 (8) : 2433 ~ 2439
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