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Stable steady state of some population models (1992)

Karakostas, G. ; Philos, Ch. G. ; Sficas, Y. G.

Springer

Journal of dynamics and differential equations 4 (1992), S. 161-190

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ISSN: 1572-9222

Keywords: Delay differential equations ; equilibrium ; stability ; limiting equations ; population dynamics ; 34K20 ; 34K25 ; 92A15

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract Applying an analytical method and several limiting equations arguments, some sufficient conditions are provided for the existence of a unique positive equilibriumK for the delay differential equationx=−γx+D(x t ), which is the general form of many population models. The results are concerned with the global attractivity, uniform stability, and uniform asymptotic stability ofK. Application of the results to some known population models, which shows the effectiveness of the methods applied here, is also presented.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01048159

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