Adapting non-standard weighted average approach for solving the lotka-volterra model

Mohammad Khatim Hasan, Shahrizan Mazlan

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Simulating Lotka-Volterra model using a numerical method requires the researcher to apply tiny mesh sizes to come up with an accurate solution. This approach will increase the complexity and burden of computer memory and consume long computational time. To overcome these issues, a new solver is used that could simulate Lotka-Volterra model using bigger mesh size. In this paper, prey and predator behaviour is simulated via Lotka-Volterra model. We approximate the nonlinear terms in the model via weighted average approach and differential equation via nonstandard denominators. We provide three new schemes for one step method and simulate four sets of parameters to examine the performance of these new schemes. Results show that these new schemes simulate better for large mesh sizes.

Original languageEnglish
Pages (from-to)97-106
Number of pages10
JournalPertanika Journal of Science and Technology
Volume25
Issue numberS6
Publication statusPublished - 1 Jun 2017

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Lotka-Volterra model
mesh size
Research Personnel
numerical method
predator
Numerical methods
Differential equations
researchers
predators
Data storage equipment
methodology

Keywords

  • Lotka-volterra
  • Nonlinear
  • Nonstandard method
  • Weighted average approach

ASJC Scopus subject areas

  • Computer Science(all)
  • Chemical Engineering(all)
  • Environmental Science(all)
  • Agricultural and Biological Sciences(all)

Cite this

Adapting non-standard weighted average approach for solving the lotka-volterra model. / Hasan, Mohammad Khatim; Mazlan, Shahrizan.

In: Pertanika Journal of Science and Technology, Vol. 25, No. S6, 01.06.2017, p. 97-106.

Research output: Contribution to journalArticle

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