Analytical properties and exact solutions of the Lotka-Volterra competition system

作者：Kudryashov Nikolay A^*; Zakharchenko Anastasia S

来源：Applied Mathematics and Computation, 2015, 254: 219-228.

DOI：10.1016/j.amc.2014.12.113

• Lotka-Volterra competition system
• Exact solution
• Nonlinear differential equation
• System of equations
• Reaction-diffusion equations
• Logistic-function method

The Lotka-Volterra competition system with diffusion is considered. The Painleve property of this system is investigated. Exact traveling wave solutions of the Lotka-Volterra competition system are found. Periodic solutions expressed in terms of the Weierstrass elliptic function are also given.

• 出版日期2015-3-1