On the permanence of non-autonomous competitive system

POSPÍŠIL, Zdeněk. On the permanence of non-autonomous competitive system. In Proceedings International Conference Biomathematics, Bioinformatics and Applications of Functional Differential Difference Equations. Antalya, Turkey: Akdeniz University, 1999, p. 155-162.

Basic information

• Original name: On the permanence of non-autonomous competitive system
• Authors: POSPÍŠIL, Zdeněk (203 Czech Republic, guarantor).
• Edition: Antalya, Turkey, Proceedings International Conference Biomathematics, Bioinformatics and Applications of Functional Differential Difference Equations, p. 155-162, 1999.
• Publisher: Akdeniz University

Other information

• Original language: English
• Type of outcome: Proceedings paper
• Field of Study: 10101 Pure mathematics
• Country of publisher: Turkey
• Confidentiality degree: is not subject to a state or trade secret
• RIV identification code: RIV/00216224:14310/99:00001856
• Organization unit: Faculty of Science
• Keywords in English: Non-autonomous ODE; population dynamics; permanence
• Tags: Non-autonomous ODE, permanence, population dynamics

Abstract

Non-autonomous ordinary differential equation systems modeling dynamics of two competing populations are studied. The time dependence of right-hand sides of governing equations is supposed to be of special, but general enough, type. Sufficient conditions for permanence of the system under consideration are established. An ecological interpretation of results obtained is also presented.

Links

• GA201/99/0295, research and development project: Name: Kvalitativní teorie diferenciálních rovnic

Investor: Czech Science Foundation, Qualitative theory of differential equations

• MSM 143100001, plan (intention): Name: Funkcionální diferenciální rovnice a matematicko-statistické modely

Investor: Ministry of Education, Youth and Sports of the CR, Functional-differential equations and mathematical-statistical models