Research Article
Predator-Prey Relationships System
|
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
|
| Volume 140 - Issue 5 |
| Published: April 2016 |
| Authors: Taleb A.S. Obaid, Alaa Khalaf Hamoud |
10.5120/ijca2016909310
|
Taleb A.S. Obaid, Alaa Khalaf Hamoud . Predator-Prey Relationships System. International Journal of Computer Applications. 140, 5 (April 2016), 42-44. DOI=10.5120/ijca2016909310
@article{ 10.5120/ijca2016909310,
author = { Taleb A.S. Obaid,Alaa Khalaf Hamoud },
title = { Predator-Prey Relationships System },
journal = { International Journal of Computer Applications },
year = { 2016 },
volume = { 140 },
number = { 5 },
pages = { 42-44 },
doi = { 10.5120/ijca2016909310 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2016
%A Taleb A.S. Obaid
%A Alaa Khalaf Hamoud
%T Predator-Prey Relationships System%T
%J International Journal of Computer Applications
%V 140
%N 5
%P 42-44
%R 10.5120/ijca2016909310
%I Foundation of Computer Science (FCS), NY, USA
Abstract
Most of the ecological systems have the elements to produce divisions and dynamics behavior, and food chains are ecosystems with familiar structure. Modeling efforts of the dynamics of food chains which are initiated long ago confirm that food chains have very rich dynamics. This work focused on applying biological mathematical model to analyzing predation or competition relationships in the natural environment between predators and preys. We are interesting to consider two species of animals; interdependence might arise because one species (the “prey”) serves as a food source for the other species (the “predator”). Models of this type are thus called predator-prey models. Initially, we exercised the mathematical model of one prey and one predator. Later on, we considered very excited model that dealing with one predator and two preys. The populations of the prey and predator will be modeled by two differential equations for the early case and with three differential equations for a later model. The Matlab command ode45 can be used to solve such systems of differential equations.
References
- Lotka, A. J. (1925). Elements of physical biology. Williams and Wilkins. Baltimore, Maryland, USA.
- Volterra, V. (1927). Variations and fluctuations in the numbers of coexisting animal species. The Golden age of theoretical Ecology; (1933- 1940). Lecture notes in Biomathematics, 22(1): 65-273, springer-Verlag, Berlin, Heidelberg, New York.
- Guay M., "Dynamical systems and ecological modeling", Maryland Mathematical Modeling Contest, October 9th, 2014.
- Green, E. (2004). The effects of a smart predator in a one predator-two prey system. University published. (http/green e/University of Chicago).
- Vlastmil, K. and Eisner, J. (2006). The effect of Holling Type II functional response on apparent competition. Theoretical Population Biology, 70: 421-430.
- Peterson J. K., "Predator Prey Models in MatLab", Clemson University, November 7, 2013
- Wiklund K, Lundin J, Olsson P., V˚agberg D, " Modeling and Simulation", Ume˚a University 2014
- Von Arb R., "Predator Prey Models in Competitive Corporations", Olivet Nazarene University, 2013.
- Knadler C. "Models Of A Predator-Prey Relationship In A Closed Habitat" Proceedings Simulation Conference, 2008.
Index Terms
Keywords