A LotkaแVolterra periodic model with m-predators and n-preys is studied in this paper. A set of easily verifiable sufficient conditions that guarantee the existence, uniqueness and global attractivity of the positive periodic solutions is obtained. Finally, a suitable example is given to illustrate
Global Attractivity of Periodic Solutions of Population Models
โ Scribed by Wang Wendi; P Fergola; C Tenneriello
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 209 KB
- Volume
- 211
- Category
- Article
- ISSN
- 0022-247X
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โฆ Synopsis
This paper studies periodic solutions of two types of population models with time delays and periodic coefficients. The first represents one species growth with delayed recruitments and the second models a single species despersal among the n patches. By developing the theory of monotone and concave operators to functional differential equations, we establish conditions under which each model admits a positive periodic solution which attracts all positive solutions. แฎ 1997 Academic Press
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