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Vol.6, No.1, February 2017. ISSN: 2217-8309 eISSN: 2217-8333
TEM Journal
TECHNOLOGY, EDUCATION, MANAGEMENT, INFORMATICS Association for Information Communication Technology Education and Science |
Lotka-Volterra Model with Two Predators and Their Prey
Vahidin Hadžiabdić, Midhat Mehuljić, Jasmin Bektešević
© 2017 Vahidin Hadžiabdić, Midhat Mehuljić, Jasmin Bektešević, published by UIKTEN. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License. (CC BY-NC-ND 4.0)
Citation Information: TEM Journal. Volume 6, Issue 1, Pages 132-136, ISSN 2217-8309, DOI: 10.18421/TEM61-19, February 2017.
Abstract:
In this paper will be observed the population dynamics of a three-species Lotka-Volterra model: two predators and their prey. This simplified model yields a more complicated dynamical system than classic Lotka-Volterra model. We will give the conditions under which one of the predators becomes extinct and when the coexistence between predators is possible. Given will be sufficient conditions for the existence of solutions for certain classes of Cauchy’s solutions of Lotka-Volterra model. The behavior of integral curves in the neighborhoods of an arbitrary integral curves will be considered.
Keywords – Equilibrium Point, Growth Rate, Lotka-Volterra,Predator-Prey, Stability. |
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