e-ISSN 2231-8542
ISSN 1511-3701
Mohammad Khatim Hasan and Shahrizan Mazlan
Pertanika Journal of Tropical Agricultural Science, Volume 25, Issue S, June 2017
Keywords: Lotka-Volterra, Nonlinear, Nonstandard method, Weighted average approach
Published on: 12 Mac 2018
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.
ISSN 1511-3701
e-ISSN 2231-8542