PT  - JOURNAL ARTICLE
AU  - Monika Justyna Nir
AU  - Sarangam Majumdar
TI  - Numerical aspect of Predator-Pray Model
AID  - 10.1101/065516
DP  - 2016 Jan 01
TA  - bioRxiv
PG  - 065516
4099  - http://biorxiv.org/content/early/2016/07/23/065516.short
4100  - http://biorxiv.org/content/early/2016/07/23/065516.full
AB  - In a closed eco-system, there are only two types of animals: the predator and the prey. They form a simple food-chain where the predator species hunts the prey species, while the prey grazes vegetation. The size of the two populations can be described by a simple system of two nonlinear first order differential equations formally known as the Lotka-Volterra equations, which originated in the study of fish populations of the Mediterranean during and immediately after World War I. Here, we study numerically this nonlinear parabolic evolution problem and compare the result of various numerical schemes.