A HARVESTED MODIFIED LESLIE-GOWER PREDATOR-PREY MODEL WITH SIS-DISEASE IN PREDATOR AND  PREY REFUGE

ARKAN N.  MUSTAFA; SHILAN F.  AMIN

doi:10.26682/sjuod.2019.22.2.20

ARKAN N. MUSTAFA Dept.of Mathematics, College of Education, University of Sulaimani,Kurdistan Region-Iraq
SHILAN F. AMIN Dept.of Mathematics, College of Education, University of Sulaimani,Kurdistan Region-Iraq

DOI: https://doi.org/10.26682/sjuod.2019.22.2.20

Keywords: KEYWORD: Leslie-Gower prey- predator model, prey protection, SIS disease, and Stability analysis.

Abstract

ABSTRACT

The aim of this paper is to consider and analyze the dynamic behavior of a modified Leslie-Gower prey-predator model with SIS-disease in predator incorporating prey protection and harvesting factor. The disease is spread from one predator to another through two ways. Physical contact; or external source. Firstly, the details of the assumptions in the proposed model and the significant of the parameters used in are discussed. Then the boundedness of the model is proved, certain conditions for persistence of the model are given and the existence as well as stability analysis of all possible non-negative equilibrium points is studied. Finally, to confirm our analytical finding we discussed numerical simulation of the model.

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References

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