Differential and Integral Equations
- Differential Integral Equations
- Volume 18, Number 2 (2005), 155-168.
The sub-supersolution method for an evolutionary reaction-diffusion age-dependent problem
In this work, we analyze a nonlinear population-dynamics model with age dependence and spatial diffusion, and where we are assuming the influence of a reaction term. Using a sub-supersolution method we derive existence and uniqueness results. We apply this method to study the existence and uniqueness of a positive solution of a generalized logistic and of a Holling-Tanner-type age-dependent model as well as its large-time behaviour.
Differential Integral Equations, Volume 18, Number 2 (2005), 155-168.
First available in Project Euclid: 21 December 2012
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35K57: Reaction-diffusion equations
Secondary: 35B05: Oscillation, zeros of solutions, mean value theorems, etc. 92D15: Problems related to evolution 92D25: Population dynamics (general) 92D40: Ecology
Delgado, M.; Molina-Becerra, M.; Suárez, A. The sub-supersolution method for an evolutionary reaction-diffusion age-dependent problem. Differential Integral Equations 18 (2005), no. 2, 155--168. https://projecteuclid.org/euclid.die/1356060227