- Blat , J. and Brown , K. J. 1984 . Bifurcation of steady–state solutions in predator–prey and competition systems . Proc. Roy. Soc. Edinburgh , 97A : 21 – 34 .
- Cosner , C. and Lazer , A. C. 1984 . Stable coexistence states in the Volterra–Lotka competition model with diffusion . SIAM J. Appl. Math. , 44 : 1112 – 1132 .
- Dancer , E. N. 1984 . On positive solutions of some pairs of diggerential equations . Trans. Amer. Math. Soc. , 284 : 729 – 743 .
- Dancer , E. N. 1985 . On positive solutions of some pairs of differential equations II . J. Diff. Eqns. , 60 : 236 – 258 .
- Dancer , E. N. 1991 . The existence and uniqueness of positive solutions of competing species equations with diffusion . Trans. Amer. Math. Soc. , 326 : 829 – 859 .
- Feng , Wei . in press . Coexistence, stability, and limiting behavior in a one–predator–two–prey model .
- Feng , Wei and Ruan , W.H. in press . Coexistence, permanence, and stability in a three species competition model .
- Feng , Wei and Xin , Lu . in press . Some Coexistence and Extinction Results for a 3–species Ecological System .
- Korman , P. and Leung , A. 1987 . On the existence and uniqueness of positive steady states in the Volterra–Lotka ecological models with diffusion . Applicable Analysis , 26 : 145 – 159 .
- Lakos , N. 1990 . Existence of steady–state solutions for a one–predator– two–prey system . SIAM J. Math. Anal. , 21 : 647 – 659 .
- Leung , A. 1980 . Equiilibria and stabilities for competing species, reaction–diffusion equations with Dirichlet boundary data . J. Math. Anal. Appl. , 73 : 204 – 218 .
- Leung , A. 1982 . Monotone Schemes for semilinear elliptic systes related to ecology . math. Methods Appl. Sci. , 4 : 272 – 285 .
- leung , A. and Clark , D. C. 1980 . Bifurcations and large–time asymptotic behavior for prey–predator reaction–diffusions with Dirichlet boundary data . J. Diff. Eq.S, , 35 : 113 – 127 .
- Leung , A. 1984 . A study of 3–species prey–predator reaction–diffusions by monotone schemes . J. Math. Anal. Appl. , 100 : 583 – 604 .
- Leung , A. 1989 . Systems of Nonlinear Partial Differential Equations Kluwer, Boston
- Yaoin , Liu . in press . ositive solutions to general elliptic systems .
- Pao , C. V. in press . ositive solutions and dynamics of a finite difference reaction–diffusion system .
- Pao , C. V. 1981 . Coexistence and stability of a competiton–diffusion system in population dynamics . J. Math. Anal. Appl. , 83 : 54 – 76 .
- Pao , C. V. in press . On Nonlinear Parabolic and Elliptic equations, Plenum Publ. .
- Pao , C. V. 1981 . Coexistence and stability of a competition–diffusion system in population dymamics . J. Math. Anal. Appl. , 83 : 54 – 76 .
- Ruan , W.H. and Feng , Wei . “ On the fixed point index and multiple stady–state solutions of reaction–diffusion systems ” . New York to appear on J. Diff. Integ. Eq.s
- Ruan , W.H. and Pao , C.V. in press . Positive stead–state solution of a com–peting reaction–diffusion system .
- Yamada , Y. 1990 . stability of steady states for prey–predator diffusion equations with homogeneous Dirichlet condition . SIAM J. Math. Anal. , 21 : 327 – 345 .
- Zhou , L. and Pao , C. V. 1982 . Asyptotic behavior of a competitio–diffusion system in population dynamics . Nonlinear Analysis TMA. , 6 : 1163 – 1184 .
Permanence effect in a three—species food chain model
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