The logistic modeling population: Having harvesting factor

Authors

  • Doust M.H. Rahmani Department of Mathematics, Faculty of Sciences, Neyshabur University, Neyshabur, Iran
  • M. Saraj Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University, Ahvaz, Iran

DOI:

https://doi.org/10.2298/YJOR130515038R

Keywords:

Eequilibrium points, harvesting factor, logistic equation, O.D.Es.

Abstract

The present paper deals with the logistic equation having harvesting factor, which is studied in two cases, constant and non-constant. In fact, the nature of equilibrium points and solutions behavior has been analyzed for both of the above cases by finding the first integral, solution curve and phase diagram. Finally, a theorem which is describing the stability of a real model of single species is proved.

References

Edwards, H. and Penny, D., Differential Equations and Boundary Value Problems, Pearson Education (Singapore), Indian Branch Delhi, 2005.

Murray, J.D., Mathematical Biology. An Introduction, Volume I, Springer Verlag, New York, 2002.

Rahmani Doust M.H., Rangarajan, R., A Global Analysis of Lotka-Volterra Predator Prey Model with Interspecies Competition, Journal of Analysis and Computational, 4 (1) (2008) 79-85.

Saraj, M., Rahmani Doust, M.H., Haghighifar, F., The Stability of Gauss Model Having Harvested Factor, Selcuk Journal Applied Mathematics, 13 (2) (2012) 3-10.

Verhulst, P. F., Recherche Mathematiques Sur Le Loi D’accroissement De La Population, Nouveau Memoires De L’Academie Royale Des Sciences et Belles Letters De Bruxelles, 18 (1845) 3-38.

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Published

2015-02-01

Issue

Vol. 25 No. 1 (2015)

Section

Research Articles

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