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Zbl 1039.34073
Xiao, Yanni; Chen, Lansun
How do the spatial structure and time delay affect the persistence of a polluted species. (English)
[J] Appl. Anal. 82, No. 3, 253-267 (2003). ISSN 0003-6811; ISSN 1563-504X/e

The author analyzes toxicant-population models with discrete diffusion or time delay. It is shown that there exists a threshold for each system such that below the threshold the population is uniformly persistent, and above the threshold the population goes to extinction. It is shown that dispersal allows a large threshold, that is, dispersal can increase the endurance effectiveness of the population subject to a toxicant, and time delay has no effect on the threshold result.
[Bolis Basit (Clayton)]

MSC 2000:: *34K60 Applications of functional-differential equations
34K20 Stability theory of functional-differential equations
34K25 Asymptotic theory of functional-differential equations
92D25 Population dynamics

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Zentralblatt MATH Berlin [Germany]