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A unique positive solution to a system of semilinear elliptic equations
Diane Denny
Conference Publications 2013, 2013(special): 193-195 doi: 10.3934/proc.2013.2013.193
We study a system of semilinear elliptic equations that arises from a predator-prey model. Previous related work proved the existence of a unique positive solution to this system of equations in the special case in which the parameter $\alpha=0$ in this system of equations, provided that a positive parameter $\kappa$ in this system of equations is sufficiently large. We prove the existence of a unique positive solution to this system of equations for any $\alpha \geq 0$ and for any $\kappa>0$.
keywords: uniqueness existence Elliptic semilinear.

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