A DYNAMIC S-I-P MODEL WITH DISEASE IN THE PREY POPULATION AND HOLLING TYPE II FUNCTIONAL RESPONSE

St. Budi Waluya, - (2016) A DYNAMIC S-I-P MODEL WITH DISEASE IN THE PREY POPULATION AND HOLLING TYPE II FUNCTIONAL RESPONSE. Far East Journal of Mathematical, 100 (5). pp. 727-746. ISSN ISSN: 0972-0871

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Official URL: http://www.pphmj.com/abstract/10096.htm

Abstract

In this paper, a modified S-I-P of two species predator-prey interactions model is discussed. The S-I-P system consists of three differential equations that represent sub-populations growth of susceptible-preys (S), infected-preys (I) and predators (P). In prey population there is deadly disease transmission rated with Holling type II response characteristic of predator to catched prey. The analysis result showed that the system has six equilibrium points. There are always two points which are unstable in any condition. Routh-Hurwitz criteria are used to analyze the stability of the equilibrium points. Numerical simulations are carried out to demonstrate the results obtained.

Item Type:	Article
Uncontrolled Keywords:	Holling type II, Routh-Hurwitz, epidemic, equilibrium, predator-prey.
Subjects:	Q Science > QA Mathematics
Fakultas:	Fakultas Matematika dan Ilmu Pengetahuan Alam > Matematika, S1
Depositing User:	Setyarini UPT Perpus
Date Deposited:	08 Aug 2022 02:17
Last Modified:	06 Jul 2023 02:24
URI:	http://lib.unnes.ac.id/id/eprint/51114

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