Global asymptotic behaviour of aquatic vegetation in a periodical mediated system
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Date
2012Author
Wasike, Adu A. M
Kimathi, George E
Pokhariyal, Ganesh P
Type
ArticleLanguage
enMetadata
Show full item recordAbstract
In this paper, we consider a competition model between two species in an aquatic system. The operating
parameters and the species specific response functions are periodic functions of time. Species-specific removal rates are also
permitted to be periodic. A threshold result on the global dynamics of the scalar asymptotically periodic Kolmogorov
equation is applied to a growth model of two species. Sufficient conditions ensure uniform persistence of all the species and
guarantee that the full system admits at least one positive, periodic solution. The qualitative behaviour of this model is
determined analytically and numerically.
Citation
Adu A. M. Wasike, George E. Kimathi, and Ganesh P. Pokhariyal (2012). Global asymptotic behaviour of aquatic vegetation in a periodical mediated system. International Journal of Modern Engineering Research (IJMER), Vol. 2, Issue. 5, Sep.-Oct. 2012 pp-3248-3256Publisher
Department of Mathematics, Masinde Muliro University of Science and Technology School of Mathematics, University of Nairobi, Kenya