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• W1853209780 abstract "In this paper we survey the construction of Lyapunov functions (or functionals) for various ecological models which take the form of ODE systems (or Reaction-Diffusion PDE systems). First we consider the resources-consumers type ecological models which study the competition of $n$ microorgansims for a single limiting resource or two complementary resources in the chemostat. Next we consider the Gause-type predator-prey systems and the Lesile-type predator-prey systems. From the Lyapunov functions of the predator-prey system we construct new Lyapunov functions for three-level food chain models and one prey two predators models. Suppose a Lyapunov function is known for an ecological model which takes the form of an ODE system. Then we construct a Lyapunov functional for the corresponding reaction-diffusion PDE systems. Open problems are indicated when there is gap in the theory." @default.
• W1853209780 created "2016-06-24" @default.
• W1853209780 creator A5042806677 @default.
• W1853209780 date "2005-06-01" @default.
• W1853209780 modified "2023-10-14" @default.
• W1853209780 title "A SURVEY OF CONSTRUCTING LYAPUNOV FUNCTIONS FOR MATHEMATICAL MODELS IN POPULATION BIOLOGY" @default.
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• W1853209780 doi "https://doi.org/10.11650/twjm/1500407791" @default.
• W1853209780 hasPublicationYear "2005" @default.
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