Traveling plane wave solutions of delayed lattice differential systems in competitive Lotka-Volterra type (Q986641)
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scientific article; zbMATH DE number 5769097
| Language | Label | Description | Also known as |
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| English | Traveling plane wave solutions of delayed lattice differential systems in competitive Lotka-Volterra type |
scientific article; zbMATH DE number 5769097 |
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Traveling plane wave solutions of delayed lattice differential systems in competitive Lotka-Volterra type (English)
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11 August 2010
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The authors consider the existence of traveling plane wave solutions of systems of delayed lattice differential equations of competitive Lotka-Volterra type. They show that there exists a speed \(c^*\) such that, for any speed \(c>c^*\), the system admits a traveling wave solution connecting two different equilibria. The method used is to employ an iterative method coupled with the explicit construction of upper and lower solutions.
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traveling wave solution
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delayed lattice differential equations
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upper and lower solutions
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heteroclinic solutions
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