Positive Equilibrium Solutions to General Population Model

Joon Hyuk Kang

doi:10.12732/ijpam.v85i6.4

Positive Equilibrium Solutions to General Population Model

Joon Hyuk Kang

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we investigate conditions for the existence of positive solution to the following general elliptic system with various growth conditions: {Δu + u(a + g(u, v)) = 0 Δv + v(d + h(u, v)) = 0 u|∂ω=v|∂ω=0 in ω. Our arguments mainly rely on super-sub solutions, maximum principles, spectrum estimates, and some detailed properties for the solution of logistic equations.

Original language	American English
Pages (from-to)	1009-1019
Journal	International Journal of Pure and Applied Mathematics
Volume	85
Issue number	6
DOIs	https://doi.org/10.12732/ijpam.v85i6.4
State	Published - Jul 24 2013

Keywords

Elliptic system with various growth conditions
Existence of positive solution
Logistic equations
Maximum principles
Spectrum estimates
Super-sub solutions

Disciplines

Applied Mathematics

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Positive Equilibrium Solutions to General Population ModelFinal published version, 139 KBLicense: Unspecified

Cite this

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title = "Positive Equilibrium Solutions to General Population Model",

abstract = "In this paper, we investigate conditions for the existence of positive solution to the following general elliptic system with various growth conditions: \{Δu + u(a + g(u, v)) = 0 Δv + v(d + h(u, v)) = 0 u|∂ω=v|∂ω=0 in ω. Our arguments mainly rely on super-sub solutions, maximum principles, spectrum estimates, and some detailed properties for the solution of logistic equations.",

keywords = "Elliptic system with various growth conditions, Existence of positive solution, Logistic equations, Maximum principles, Spectrum estimates, Super-sub solutions",

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year = "2013",

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doi = "10.12732/ijpam.v85i6.4",

language = "American English",

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T1 - Positive Equilibrium Solutions to General Population Model

AU - Hyuk Kang, Joon

PY - 2013/7/24

Y1 - 2013/7/24

N2 - In this paper, we investigate conditions for the existence of positive solution to the following general elliptic system with various growth conditions: {Δu + u(a + g(u, v)) = 0 Δv + v(d + h(u, v)) = 0 u|∂ω=v|∂ω=0 in ω. Our arguments mainly rely on super-sub solutions, maximum principles, spectrum estimates, and some detailed properties for the solution of logistic equations.

AB - In this paper, we investigate conditions for the existence of positive solution to the following general elliptic system with various growth conditions: {Δu + u(a + g(u, v)) = 0 Δv + v(d + h(u, v)) = 0 u|∂ω=v|∂ω=0 in ω. Our arguments mainly rely on super-sub solutions, maximum principles, spectrum estimates, and some detailed properties for the solution of logistic equations.

KW - Elliptic system with various growth conditions

KW - Existence of positive solution

KW - Logistic equations

KW - Maximum principles

KW - Spectrum estimates

KW - Super-sub solutions

UR - https://digitalcommons.andrews.edu/pubs/1689

U2 - 10.12732/ijpam.v85i6.4

DO - 10.12732/ijpam.v85i6.4

M3 - Article

VL - 85

SP - 1009

EP - 1019

JO - International Journal of Pure and Applied Mathematics

JF - International Journal of Pure and Applied Mathematics

IS - 6

ER -

Positive Equilibrium Solutions to General Population Model

Abstract

Keywords

Disciplines

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