Qualitative analysis of a diffusive ratio-dependent Holling-Tanner predator-prey model with Smith growth (Q1956017)
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scientific article; zbMATH DE number 6175058
| Language | Label | Description | Also known as |
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| English | Qualitative analysis of a diffusive ratio-dependent Holling-Tanner predator-prey model with Smith growth |
scientific article; zbMATH DE number 6175058 |
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Qualitative analysis of a diffusive ratio-dependent Holling-Tanner predator-prey model with Smith growth (English)
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13 June 2013
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Summary: We investigate the dynamics of a diffusive ratio-dependent Holling-Tanner predator-prey model with Smith growth subject to zero-flux boundary condition. Some qualitative properties, including the dissipation, persistence, and local and global stability of positive constant solution, are discussed. Moreover, we give the refined a priori estimates of positive solutions and derive some results for the existence and nonexistence of nonconstant positive steady state.
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positive solutions
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global stability
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