Qualitative analysis and numerical simulations of a class of Hassell model (Q2895275)
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scientific article; zbMATH DE number 6052070
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Qualitative analysis and numerical simulations of a class of Hassell model |
scientific article; zbMATH DE number 6052070 |
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2 July 2012
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Hassell model
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equilibria
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limit cycle
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Qualitative analysis and numerical simulations of a class of Hassell model (English)
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The authors consider the system NEWLINE\[NEWLINE\begin{aligned} {dx\over dt} &= rx\Biggl(1-{x\over k}\Biggr)+ y(ke^{1-cx}- k),\\ {dy\over dt} &= sy\Biggl(1={r\over x}\,y\Biggr)\end{aligned}NEWLINE\]NEWLINE in the positive orthant; \(r\), \(k\), \(s\), \(c\) are positive parameters. They study the stability of equilibria and derive conditions for the nonexistence of limit cycles.
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