Sains Malaysiana 39(6)(2010):
935–940
Modeling
Population Harvesting of Rodents for the Control of Hantavirus Infection
(Pemodelan
Proses Populasi Penuaian Tikus bagi Mengawal Jangkitan Hantavirus)
F.M.Yusof*,
A.I.B. Md. Ismail & N.H.M. Ali
School
of Mathematical Sciences
Universiti
Sains Malaysia, 11800 USM, Penang,
Malaysia
Diserahkan:
17 November 2009 / Diterima: 21 Mei 2010
ABSTRACT
Hantaviruses
are infectious agents that can cause diseases resulting in deaths in humans and
are hosted by rodents without affecting the hosts themselves. A simple
mathematical model describing the spread of the Hantavirus infection in rodents
has been proposed and developed by Abramson and Kenkre where the model takes
into account the temporal and spatial characteristics of this infection. In
this paper, we extended this model to include the process of harvesting and
study the impact of different harvesting strategies in the spread of the
Hantavirus infection in rodents. Several numerical simulations were carried out
and the results are discussed.
Keywords:
Hantavirus; harvesting; mathematical model; numerical simulations
ABSTRAK
Hantavirus
adalah ejen jangkitan penyakit yang boleh menyebabkan kematian di kalangan
manusia dan berperumahkan tikus tanpa memberi kesan kepada perumah itu sendiri.
Model matematik mudah yang menjelaskan pembiakan jangkitan hantavirus ke atas
tikus telah dicadang dan dibangunkan oleh Abramson dan Kenkre dengan model
tersebut mengambilkira ciri ruang dan masa jangkitan ini. Dalam makalah ini,
kami meluaskan model ini dengan memasukkan proses penuaian dan mengkaji kesan
strategi penuaian yang berbeza ke atas pembiakan jangkitan hantavirus ke atas
tikus. Beberapa simulasi berangka telah dijalankan dan keputusan dibincangkan.
Kata
kunci: Hantavirus; penuaian; model matematik; simulasi berangka
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*Pengarang
untuk surat-menyurat; email: fauzikmk@hotmail.com
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