Sains Malaysiana 43(7)(2014): 1045–1051

Effect of Predators on the Spread of Hantavirus Infection

(Kesan Pemangsa ke atas Penyebaran Jangkitan Hantavirus)

F.M. YUSOF*, A.I.B. MD. ISMAIL & N.M. ALI

School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM, Penang, Malaysia

Diserahkan: 6 November 2012/Diterima: 16 September 2013

ABSTRACT

Hantavirus is a serious disease caused by rodents which can lead to mortality. Many efforts have been carried out by researchers to develop and analyze mathematical models of Hantavirus infection. In this paper, the Peixoto and Abramson (2006) biodiversity model is modified to include the effect of predators and study the prediction of the modified model. When rodent and predator populations are in competition, the predator populations have the effect of reducing the prevalence of infection. Predators may be used for control and reduces the number of competing species to stabilize the populations at a persistent equilibrium.

Keywords: Biodiversity model; competition dynamics; Hantavirus infection; mathematical model; predator-prey model

ABSTRAK

Hantavirus adalah jangkitan serius yang disebabkan oleh tikus yang boleh membawa kepada kematian. Banyak usaha yang telah dilakukan oleh para penyelidik untuk membangun dan mengalisis model matematik jangkitan Hantavirus. Dalam artikel ini, model biodiversiti Peixoto dan Abramson (2006) diubahsuai untuk memasukkan kesan pemangsa dan mengkaji ramalan model. Apabila populasi tikus dan pemangsa dalam persaingan, populasi pemangsa memberi kesan pengurangan kekerapan jangkitan tikus. Pemangsa boleh digunakan untuk mengawal dan mengurangkan bilangan spesies yang bersaing untuk menstabilkan populasi pada keseimbangan yang berterusan.

Kata kunci: Jangkitan Hantavirus; model biodiversiti; model matematik; model pemangsa-mangsa; persaingan dinamik

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*Pengarang untuk surat-menyurat; email: fauzikmk@hotmail.com