Fast-slow dynamics in logistic models with slowly varying parameters

DOI10.1016/j.cnsns.2012.12.036zbMath1284.34100OpenAlexW1977578566MaRDI QIDQ375586

Jianhe Shen, Zheyan Zhou

Publication date: 31 October 2013

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S1007570413000075

zbMATH Keywords

matchingupper and lower solutionsfast-slow dynamicslogistic modelsslowly varying parameters

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (3)

Logistic growth with a slowly varying Holling type II harvesting term ⋮ On the multiscale approximation of solutions to the slowly varying harvested logistic population model ⋮ Fast-slow dynamics in first-order initial value problems with slowly varying parameters and application to a harvested logistic model

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