๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Perturbations of Periodic Competitive Parabolic Systems

โœ Scribed by Xiao-Qiang Zhao

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
109 KB
Volume
262
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

โœฆ Synopsis

It is shown that the competitive exclusion and coexistence in two species periodic competitive parabolic systems are robust under a class of perturbations. This result is also applied to a reaction-diffusion model for the evolution of dispersal rates.

๐Ÿ“œ SIMILAR VOLUMES

Periodic Solutions of Parabolic Systems
Periodic Solutions of Parabolic Systems with Time Delays
โœ C.V Pao ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 114 KB

Existence of maximal and minimal periodic solutions of a coupled system of parabolic equations with time delays and with nonlinear boundary conditions is discussed. The proof of the existence theorem is based on the method of upper and lower solutions and its associated monotone iterations. This met

Optimal control for parabolic systems wi
Optimal control for parabolic systems with competitive interactions
โœ S. Lenhart; V. Protopopescu ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 681 KB

## Abstract We consider a twoโ€dimensional parabolic system with general competitive interactions as a twoโ€player game with conflicting objectives and with controls on the inhomogencous (source) terms. We show the existence of an optimal solution of the game as the saddle point of a suitable objecti

Coexistence States for Periodic Competit
Coexistence States for Periodic Competitive Kolmogorov Systems
โœ Anna Battauz; Fabio Zanolin ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 244 KB

We prove the existence of positive periodic solutions for a class of nonautonomous competitive periodic Kolmogorov systems which generalize the MayแŽ Leonard model. A necessary and sufficient condition is also obtained. แฎŠ 1998