Wavefronts of a Nonlocal State-dependent Time Delay Model
| Autor: | Zhi Hui Yang, Rui Jun Xie, Rong Yuan |
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| Rok vydání: | 2019 |
| Předmět: |
Work (thermodynamics)
Applied Mathematics General Mathematics 010102 general mathematics Mathematical analysis Fixed-point theorem Function (mathematics) 01 natural sciences Upper and lower bounds 010101 applied mathematics Section (fiber bundle) Continuation 0101 mathematics Diffusion (business) Laplace operator Mathematics |
| Zdroj: | Acta Mathematica Sinica, English Series. 36:77-92 |
| ISSN: | 1439-7617 1439-8516 |
| DOI: | 10.1007/s10114-019-8400-y |
| Popis: | This paper is concerned with the travelling wavefronts of a nonlocal dispersal cooperation model with harvesting and state-dependent delay, which is assumed to be an increasing function of the population density with lower and upper bound. Especially, state-dependent delay is introduced into a nonlocal reaction-diffusion model. The conditions of Schauder’s fixed point theorem are proved by constructing a reasonable set of functions Γ (see Section 2) and a pair of upper-lower solutions, so the existence of traveling wavefronts is established. The present study is continuation of a previous work that highlights the Laplacian diffusion. |
| Databáze: | OpenAIRE |
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