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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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초록· 키워드
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As a mathematical model proposed to understand the behaviors
of interacting species, cross-diffusion systems with functional responses
of prey-predator type are considered. In order to obtain W½-estimates of the solutions, we make use of several forms of calculus inequalities
and embedding theorems. We consider the quasilinear parabolic
systems with the cross-diffusion terms, and without the self-diffusion
terms because of the simplicity of computations. As the main result we
derive the uniform W½ -bound of the solutions and obtain the global existence
in time.
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참고문헌 (20)
참고문헌 신청
A. Friedman / 1969 / Partial Differential Equations, Holt / Rinehart and Winston
A. Okubo / 2001 / Diffusion and Ecological Problems : modern perspective, Interdisciplinary Applied Mathematics, 2nd ed., Vol. 14 / Springer
C. Holling / 1965 / The functional response of predators to prey density and its role in mimicry and population regulation / Mem. Ent. Soc. Can 45 : 1 ~ 65
C. Pao / 2005 / Strongly coupled elliptic systems and applications to Lotka-Volterra models with cross-diffusion / Nonlinear Analysis 60 : 1197 ~ 1217
H. Amann / 1989 / Dynamic theory of quasilinear parabolic equations, III / Global Existence Math Z 202 : 219 ~ 250
A. Okubo / 2001 / Diffusion and Ecological Problems : modern perspective, Interdisciplinary Applied Mathematics, 2nd ed., Vol. 14 / Springer
C. Holling / 1965 / The functional response of predators to prey density and its role in mimicry and population regulation / Mem. Ent. Soc. Can 45 : 1 ~ 65
C. Pao / 2005 / Strongly coupled elliptic systems and applications to Lotka-Volterra models with cross-diffusion / Nonlinear Analysis 60 : 1197 ~ 1217
H. Amann / 1989 / Dynamic theory of quasilinear parabolic equations, III / Global Existence Math Z 202 : 219 ~ 250
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