On the existence of positive periodic solutions for n−species Lotka-Volterra competitive systems with distributed delays and impulses
In this paper, we investigate the existence of positive periodic solutions for an n-species Lotka-Volterra system with distributed delays and impulsive effect. In the process we use integrating factors and convert the given Lotka-Volterra differential equation into an equivalent integral equation. T...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/137496 |
| Acceso en línea: | https://hdl.handle.net/11441/137496 https://doi.org/10.1007/s10883-021-09581-y |
| Access Level: | acceso abierto |
| Palabra clave: | Krasnoselskii’s fixed point theorem positive periodic solutions Lotka-Volterra competition systems Variable delays impulses |
| Sumario: | In this paper, we investigate the existence of positive periodic solutions for an n-species Lotka-Volterra system with distributed delays and impulsive effect. In the process we use integrating factors and convert the given Lotka-Volterra differential equation into an equivalent integral equation. Then we construct appropriate mappings and use Krasnoselskii’s fixed point theorem to show the existence of a positive periodic solution of this system. In particular, the results improve some previous ones in the literature. Finally, as an application, we exhibit an example to illustrate the effectiveness of our abstract results |
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