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The stability of nonlinear age-dependent population equation

✍ Scribed by Xiaorang Li

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
554 KB
Volume
11
Category
Article
ISSN
0893-9659

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✦ Synopsis

A kind of size-dependent age-structured single species population equation with a random gestation period is discussed. A generalized population size E, called "the newborn equivalent quantity" is defined. The stability of a positive equilibrium is studied when the control function is chosen to be E. It is proved that if E is unfavorable to both survival and reproduction, the unique positive equilibrium is globally asymptotically stable.

πŸ“œ SIMILAR VOLUMES

The semigroup associated with nonlinear
The semigroup associated with nonlinear age dependent population dynamics
✍ G.F. Webb πŸ“‚ Article πŸ“… 1983 πŸ› Elsevier Science 🌐 English βš– 679 KB

Ah&act-The solutions of the equations of nonlinear age dependent population dynamics may be associated with a strongly continuous semigroup of nonlinear operators in the Banach space L'(0, m; R"). The infinitesimal generator of this nonlinear semigroup is characterized and an exponential representat

An age-dependent population equation wit
An age-dependent population equation with delayed birth process
✍ Susanna Piazzera πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 117 KB

## Abstract Within a semigroup framework, we discuss well posedness and qualitative behaviour of an age‐dependent population equation with delay in the birth process. Using positivity and Perron–Frobenius theory we obtain an explicit stability criterion. Copyright Β© 2004 John Wiley & Sons, Ltd.