논문KCI 등재
The uniqueness of positive solution in competition model
0
조회
0
다운로드
0
인용
0
참고문헌
주제분류수학
초록
Abstract
In this paper, we investigate the uniqueness of positive solutionsto weak competition models with self-cross diffusion rates underhomogeneous Dirichlet boundary conditions. The methods employedare upper-lower solution technique and the variationalcharacterization of eigenvalues.
참고문헌 (12)
- Blat, "Bifurcation of steady state solutions in predator-prey andcompetition systems", 97, pp.21~ (1984)
- S. Cantrell, "On the steady-state problem for the Volterra-Lotka competitionmodel with diffusion", 13(3), pp.337~ (1987)
- On the uniqueness, "Houston J.Math. 15(1989", no. 3
- Cosner, "Stable coexistence statesin the Volterra-Lotka competition model with diffusion", (6), pp.1112~ (1984)
- Dancer, "On the existence and uniqueness of positivesolutions for competing species models with diffusion", 326(2), pp.829~ (1991)
- Ghoreishi, "Positive solutions of a class of biological models in aheterogenious environment", 44(1), pp.79~ (1991)
- Li, "On positive solutions of generalnonlinear elliptic symbiotic interacting systems", 40(4), pp.281~ (1991)
- Y. Lou, "Diffusion, self-diffusion andcross-diffusion", (1), pp.79~131 (1996)
- Korman, "On existence and uniquenessof positive steady-state in the Volterra-Lotka ecological modelswith diffusion", 26(2), pp.145~ (1987)
- "On the Dirichletproblem for elliptic systems", 21(3), pp.207~ (1986)
- "Positive steady--states for twointeracting species models with linear self--cross diffusions", 9(4), pp.1049~1061 (2003)
- "Positive steady--states for twointeracting species models with linear self--cross diffusions", 9(4), pp.1049~1061 (2003)
관련 논문AI추천
Uniqueness of Coexistence State of General Competition Model for Several Competing SpeciesJoon Hyuk Kang, Yun Myung Oh경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2002 · 제42권 제2호A sufficient condition for the uniqueness of positive steady state to a reaction diffusion systemJoon Hyuk Kang, Yun Myung Oh대한수학회 · 대한수학회지2002 · 제39권 제3호Global Existence of Solutions to the Prey-Predator System with a Single Cross-Diffusion심성아대한수학회 · 대한수학회보2006 · 제43권 제2호Positive coexistence for a simple food chain model with ratio-dependent functional response and cross-diffusion고원률, 안인경대한수학회 · 대한수학회논문집2006 · 제21권 제4호GLOBAL ASYMPTOTIC STABILITY FOR A DIFFUSION LOTKA-VOLTERRA COMPETITION SYSTEM WITH TIME DELAYSJia-Fang Zhang, Ping-An Zhang대한수학회 · 대한수학회보2012 · 제49권 제6호A general uniqueness result of an endemic state for an epidemic model with external force of infection차영준대한수학회 · 대한수학회논문집2007 · 제22권 제4호
이 간행물의 다른 논문 (17건)
Minimum permanents of $k$ diagonal $p \times p$ block submatrices이은영pp. 199-211Relative volume comparison with integralJong-Gug Yunpp. 213-220On McShane-Stieltjes integrals of interval-valued functions and fuzzy-number-valued functions박춘기pp. 221-233Remarks on absolutely star-Lindelof spacesYan-Kui Songpp. 235-239General variational inclusions and General resolvent equationsZeqing Liu, 강신민, 엄정석pp. 241-256
