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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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The non-existence and existence of the positive solution
for the generalized cooperation biological model for two species of
animals
¢u + u(a ¡ bu + g(v)) = 0 in
¢v + v(d + h(u) ¡ cv) = 0 in
u = v = 0 on @;
are investigated. The techniques used in this paper are elliptic the-
ory, upper-lower solutions, maximum principles and spectrum esti-
mates. The arguments also rely on some detailed properties for the
solution of logistic equations.
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참고문헌 (5)
참고문헌 신청
Korman P / 1987 / On the existence and uniqueness of positive steady states in the Volterra-Lotka ecological models with di®usion / Appl.Anal 26 (2) : 145 ~ 160
Li L / 1991 / On positive solutions of general nonlinear elliptic sym-biotic interacting systems / Appl.Anal 40 (4) : 281 ~ 295
Lopez-Gomez J / 1992 / Coexistence regions in Lotka-Volterra Models with di®usion / Nonlinear Analysis, Theory, Methods and Applications 19 (1) : 11 ~ 28
Yuan Lou / 1996 / Necessary and su±cient condition for the existence of positive solu- tions of certain cooperative system, Nonlinear Analysis / Theory, Methods and Applicat
Zhengyuan L / 1992 / Bifurcation for some systems of cooperative and predator-prey type / J. Partial Di®erential Equations : 25 ~ 36
Li L / 1991 / On positive solutions of general nonlinear elliptic sym-biotic interacting systems / Appl.Anal 40 (4) : 281 ~ 295
Lopez-Gomez J / 1992 / Coexistence regions in Lotka-Volterra Models with di®usion / Nonlinear Analysis, Theory, Methods and Applications 19 (1) : 11 ~ 28
Yuan Lou / 1996 / Necessary and su±cient condition for the existence of positive solu- tions of certain cooperative system, Nonlinear Analysis / Theory, Methods and Applicat
Zhengyuan L / 1992 / Bifurcation for some systems of cooperative and predator-prey type / J. Partial Di®erential Equations : 25 ~ 36
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