Almost automorphic solutions for Lotka-Volterra systems with diffusion and time-dependent parameters (Q6619726)
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scientific article; zbMATH DE number 7927159
| Language | Label | Description | Also known as |
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| English | Almost automorphic solutions for Lotka-Volterra systems with diffusion and time-dependent parameters |
scientific article; zbMATH DE number 7927159 |
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Almost automorphic solutions for Lotka-Volterra systems with diffusion and time-dependent parameters (English)
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16 October 2024
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The article presents a thorough investigation into the existence and uniqueness of \(p\)-pseudo almost automorphic solutions for non-autonomous Lotka-Volterra systems with diffusion. The authors employ an exponential dichotomy approach and fixed-point arguments, demonstrating significant results applicable to predator-prey models with time-dependent parameters. Overall, the research contributes valuable insights into the dynamics of ecological systems, highlighting the complexity of interactions influenced by temporal changes.
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nonautonomous equations
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evolution family
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mild solution
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\(\mu\)-pseudo-almost automorphic
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exponential dichotomy approach
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fixed point argument
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