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- W2317365551 abstract "Summary The Lambert W function is a mathematical function with a long history, but which was named and rigorously defined relatively recently. It is closely related to the logarithmic function and arises from many models in the natural sciences, including a surprising number of problems in ecology and evolution. I describe the basic properties of the function and present examples of its application to models of ecological and evolutionary processes. The Lambert W function makes it possible to solve explicitly several models where this is not possible with elementary functions. I present examples of such models from existing literature, as well as novel models. Solving models explicitly with the Lambert W function can provide deeper insight and a new point of view on a biological problem. Explicit solutions with the Lambert W function are easily amenable to further mathematical operations, such as differentiation and integration. These advantages apply to a wide range of models, from the marginal value theorem to population growth rates and disease epidemics." @default.
- W2317365551 created "2016-06-24" @default.
- W2317365551 creator A5085798200 @default.
- W2317365551 date "2016-04-22" @default.
- W2317365551 modified "2023-10-14" @default.
- W2317365551 title "The Lambert W function in ecological and evolutionary models" @default.
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- W2317365551 doi "https://doi.org/10.1111/2041-210x.12568" @default.
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