Traveling wave solutions to diffusive Holling-Tanner predator-prey models (Q2033448)
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scientific article; zbMATH DE number 7360365
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Traveling wave solutions to diffusive Holling-Tanner predator-prey models |
scientific article; zbMATH DE number 7360365 |
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Traveling wave solutions to diffusive Holling-Tanner predator-prey models (English)
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17 June 2021
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This paper is concerned with traveling wave solutions to diffusive generalized Holling-Tanner predator-prey models. Using the upper-lower solutions method, the authors established semi-traveling wave solutions for the systems. Without the monotone property, the one-sided asymptotic behavior is usually not easy to derive. For this, the authors constructed a suitable Lyapunov function to obtain the precise asymptotic behavior.
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reaction-diffusion system
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traveling wave
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Holling-Tanner
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Beddington-DeAngelis
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upper-lower solutions method
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Lyapunov function
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