Phase Portrait of Lotka-Volterra Equation

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This Demonstration shows a phase portrait of the Lotka–Volterra equations, including the critical points. The eigenvalues at the critical points are also calculated, and the stability of the system with respect to the varying parameters is characterized.

Contributed by: Wusu Ashiribo Senapon and Akanbi Moses Adebowale (June 2017)
(Department of Mathematics, Lagos State University, Lagos, Nigeria)
Open content licensed under CC BY-NC-SA


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Details

The Lotka–Volterra equations are a pair of coupled differential equations

,

describing the dynamics of predator-prey populations, and , respectively.

Reference

[1] Wikipedia. "Lotka–Volterra Equations." (Jun 20, 2017) en.wikipedia.org/wiki/Lotka-Volterra_equations.



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