PEMBENTUKAN MODEL MANGSA PEMANGSA DENGAN PEMANENAN PADA PEMANGSA

Authors

  • Saiful Marom Pendidikan Matematika FKIP Universitas Pekalongan

DOI:

https://doi.org/10.31941/delta.v1i2.487

Keywords:

predator prey models, boundedness of solution, local stability

Abstract

The Models of a predator prey with threshold harvesting on the predator is studied in this paper. In this article has established predator prey models with preydependent functions and the repon harvesting on predator assuming given.

References

Asfaw, T. M., 2009, Dynamics of generalized time dependent predator-prey model with nonlinear harvesting, Int. J. Math. Anal. 3, 1473–1485.

Birkhoff, H. and Rota, G.C., 1989, Ordinary Differentials Equations, 4th Edition, John Wiley & Sons, Inc, New - York, USA.

Blanchard, P., Devaney, R.L. and Hall, G.R., 2006, Differential Equations, ThomsonBrooks/Cole, Belmont.

Bohn, J., Rebaza, J., and Speer, K., 2011, Continuous Threshold Prey Harvesting in Predator-Prey Models, International Journal of Computational and Mathematical Science., 1, 111-118.

Ginzburg, L.R., Akcakaya, H.R. and Arditi, R., 1995, Ratio-Dependent Predation: An Abstraction that Works, Ecology, 76, 995-1004.

Khalil, H.K.,2002,Nonlinear Systems , 3rd edition, Prentice Hall, New Jersey , USA.

Leard, B., Lewis, C. and Rebaza, J., 2008, Dynamics of Ratio-Dependent Predator-Prey Models with Nonconstant Harvesting, Disc. Cont. Dyn. Syst. S, 1, 303-315.

Lynch, S., 2010, Dynamical Systems with Applications Using Maple, Birkhauser, Boston.

Perko, L., 2001, Differential Equations and Dynamical Systems .Texts in Applied Mathematics Vol. 7, Springer –Verlag , New – York , USA.

Ross, S.L., 1984, Differential Equations, 3th Edition, John Wiley & Sons, Inc, New - York, USA.

Tu, Pierre, N.V., 1994, Dynamical System : a intoduction with application in Economis and Bioloogy,Springer–Verlag , New-York, USA.

Verhulst, F.,1990,Nonlinear Differential Equations and Dynamical Systems, Springer –Verlag, New-York, USA.

Xiao, D. and Ruan, S., 2001, Global Dynamics of A Ratio-Dependent Predator-PreySystem, J. Math. Biol., 43, 268-290.

Downloads

Published

2017-08-30