SOME APPLICATIONS OF PERIODIC ORBITS FOR COMPETITIVE SYSTEMS
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| Natura: | Artículo científico |
| Lingua: | en |
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Universidad de Costa Rica
2022
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| _version_ | 1876472976825647104 |
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| author | HOMERO G. DÍAZ-MARÍN |
| author_facet | HOMERO G. DÍAZ-MARÍN |
| contents | SOME APPLICATIONS OF PERIODIC ORBITS FOR COMPETITIVE SYSTEMS HOMERO G. DÍAZ-MARÍN OSVALDO OSUNA Física, Astronomía y Matemáticas Wolbachia angiogenesis Aedes aegypti periodic orbit Competitive systems We prove existence of periodic orbits for non-autonomous two dimensional competitive dynamical systems with periodic time dependence. The proof is an adaptation of a similar assertion stated for cooperative systems in [6]. We also give two main applications: one model for cancer cell populations under periodic chemotherapy as treated in [4] and [3] for the cooperative case, and another model for mosquito population replacement dynamics interacting with control sterile mosquitoes with periodic release [1], for the competitive case. 2022 artículo científico 1409-2433 https://www.redalyc.org/articulo.oa?id=45379180004 en http://www.redalyc.org/revista.oa?id=453 Revista de Matemática: Teoría y Aplicaciones application/pdf Universidad de Costa Rica Revista de Matemática: Teoría y Aplicaciones (Costa Rica) Num.1 Vol.29 |
| format | Artículo científico |
| id | redalyc_45379180004 |
| institution | Redalyc |
| language | en |
| publishDate | 2022 |
| publisher | Universidad de Costa Rica |
| spellingShingle | SOME APPLICATIONS OF PERIODIC ORBITS FOR COMPETITIVE SYSTEMS HOMERO G. DÍAZ-MARÍN Física, Astronomía y Matemáticas Wolbachia angiogenesis Aedes aegypti periodic orbit Competitive systems SOME APPLICATIONS OF PERIODIC ORBITS FOR COMPETITIVE SYSTEMS HOMERO G. DÍAZ-MARÍN OSVALDO OSUNA Física, Astronomía y Matemáticas Wolbachia angiogenesis Aedes aegypti periodic orbit Competitive systems We prove existence of periodic orbits for non-autonomous two dimensional competitive dynamical systems with periodic time dependence. The proof is an adaptation of a similar assertion stated for cooperative systems in [6]. We also give two main applications: one model for cancer cell populations under periodic chemotherapy as treated in [4] and [3] for the cooperative case, and another model for mosquito population replacement dynamics interacting with control sterile mosquitoes with periodic release [1], for the competitive case. 2022 artículo científico 1409-2433 https://www.redalyc.org/articulo.oa?id=45379180004 en http://www.redalyc.org/revista.oa?id=453 Revista de Matemática: Teoría y Aplicaciones application/pdf Universidad de Costa Rica Revista de Matemática: Teoría y Aplicaciones (Costa Rica) Num.1 Vol.29 |
| title | SOME APPLICATIONS OF PERIODIC ORBITS FOR COMPETITIVE SYSTEMS |
| topic | Física, Astronomía y Matemáticas Wolbachia angiogenesis Aedes aegypti periodic orbit Competitive systems |
| url | https://www.redalyc.org/articulo.oa?id=45379180004 |