EXISTENCE AND STABILITY OF FIXED POINTS OF RESOURCE DYNAMICS SUBJECTED TO ADDITIVE ALLEE EFFECT

Main Article Content

Birku Demewoz Misganaw

Abstract

Allee effect refers to a reduction in individual fitness at low population density that can lead to extinction. These effects occur naturally in many real world applications. In this article we are interested in studying stability behaviour of the equilibrium solutions of the resource dynamics subjected to additive Allee effects with out and with harvesting.

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How to Cite
Misganaw, B. D. (2015). EXISTENCE AND STABILITY OF FIXED POINTS OF RESOURCE DYNAMICS SUBJECTED TO ADDITIVE ALLEE EFFECT. Journal of Global Research in Mathematical Archives(JGRMA), 2(8), 21–26. Retrieved from https://jgrma.com/index.php/jgrma/article/view/242
Section
Research Paper
Author Biography

Birku Demewoz Misganaw, University of Gondar

University of Gondar

College of Natural and Computational Sciences

Department of Mathematics

References

L. Berec, E. Angulo and F. Counchamp, Multiple Allee effects and

population management. TREE 22(4)(2006) 185 - 191.

C. W. Clark, Mathematical Bioeconomic: The optimal management of

renewable resources, (second edition). John Wiley and Sons, 1990.

F. Courchamp, T. C. Brock and B. Grenfell, Inverse dependence and

the Alle effect, TREE 14(10)(1999) 405-410.

Alejandro Rojas-Palma, Eduardo Gonzalez-Olivares, Betsabe

Gonzalez-yanez, Metastability in a gause type predator-prey models

with sigmoid functional response and multiplicative Allee effect on

prey 2006.

P. A. Stephens and W. J. Sutherland, Consequences of the Allee

effect for behavior, ecology and conservation, Trends in Ecology and

Evolution 14(10)(1999) 401-405.