Sains Malaysiana 41(2)(2012): 171–177

Fish Harvesting Management Strategies Using Logistic Growth Model

(Strategi Pengurusan Penuaian Ikan dengan MenggunakanModel Pertumbuhan Logistik)

Mohamed Faris Laham* & Ishtrinayagy S. Krishnarajah

Laboratory of Computational Sciences & Mathematical Physics, Institute for Mathematical Research

Universiti Putra Malaysia, 43400 UPM Serdang, Selangor D.E. Malaysia

Jamilah Mohd Shariff

Faculty of Computer & Mathematical Sciences, Universiti Teknologi MARA

40450 UiTM Shah Alam, Selangor D.E. Malaysia

Received: 22 October 2010 / Accepted: 21 July 2011

ABSTRACT

This paper studies the harvesting strategies for tilapia fish farming. Two logistic growth models have been used namely constant harvesting and periodic harvesting. Even though tilapia fish farming has been commercialized, the use of mathematical models in determining harvesting strategies has not been widely applied in Malaysia. Logistic growth model is appropriate for population growth of animal when overcrowding and competition resources are taken into consideration. The objectives of this study were to estimate the highest continuing yield from fish harvesting strategies implemented. Secondly, the study predicted the optimum quantity for harvesting that can ensure the tilapia fish supply is continuous. Finally, to compare the results obtained between the two strategies. The best harvesting strategy for the selected fish farm is periodic harvesting. These findings can assist fish farmers to increase the supply to meet the demand for tilapia fish.

Keywords: Biomathematics; fisheries; harvesting; logistic growth model; periodic

ABSTRAK

Makalah ini membincangkan tentang strategi penuaian untuk penternakan ikan tilapia. Dua strategi menggunakan model logistik iaitu strategi penuaian tetap dan strategi penuaian berkala diketengahkan. Walaupun aktiviti penternakan ikan tilapia telah dikomersilkan, namun penggunaan model matematik dalam menentukan strategi penuaian berkesan tidak diaplikasikan di Malaysia. Strategi penuaian adalah sangat penting dalam membantu penternak ikan untuk membekalkan keperluan ikan tilapia kepada pengguna secara berterusan dan memastikan juga populasi ikan tersebut berada dalam keadaan yang stabil. Objektif utama kajian ini adalah untuk menentukan hasil penuaian yang berterusan daripada strategi penuaian yang digunakan. Seterusnya, kajian juga ingin menganggarkan jumlah optimum untuk penuaian ikan bagi memastikan sumber ikan dapat ditampung secara berterusan. Akhir sekali, keputusan daripada dua strategi penuaian ini akan dibandingkan. Strategi penuaian yang terbaik untuk penternakan ikan tilapia adalah penuaian berkala. Penemuan kajian ini adalah diharap akan dapat membantu para penternak ikan untuk meningkatkan bekalan ikan tilapia bagi memenuhi kehendak pengguna dan pasaran.

Kata kunci: Berkala; biomatematik; model pertumbuhan logistik; penuaian; perikanan

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*Corresponding author; email: mohdfaris@putra.upm.edu.my