On positive solutions of some system of reaction-diffusion equations with nonlocal initial conditions

DOI10.1515/CRELLE.2011.074zbMath1242.35141arXiv1003.4698OpenAlexW2035530881MaRDI QIDQ3103808

Christoph Walker

Publication date: 12 December 2011

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.4698

zbMATH Keywords

Dirichlet conditionspredator-prey modelage structureglobal bifurcation techniquescoexistence solutions

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Positive solutions to PDEs (35B09) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (12)

A remark on a nonlocal-in-time heat equation ⋮ Well-posedness and stability analysis of an epidemic model with infection age and spatial diffusion ⋮ A study on the impact of nonlinear source term in Black-Scholes option pricing model ⋮ Properties of the semigroup in L_1 associated with age-structured diffusive properties ⋮ Positive solutions of some parabolic system with cross-diffusion and nonlocal initial conditions ⋮ Global continua of positive solutions for some quasilinear parabolic equation with a nonlocal initial condition ⋮ Some results based on maximal regularity regarding population models with age and spatial structure ⋮ A note on a nonlocal nonlinear reaction-diffusion model ⋮ Strong solutions to a nonlocal-in-time semilinear heat equation ⋮ The effects of diffusion on the principal eigenvalue for age-structured models with random diffusion ⋮ The principle of linearized stability in age-structured diffusive populations ⋮ Mild solutions to a time-fractional Cauchy problem with nonlocal nonlinearity in Besov spaces

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