Genetic algebras and time continuous models
نویسندگان
چکیده
منابع مشابه
Genetic Algebras and Time Continuous Models
It is shown how linear genetic algebras, ordinarily applied in situations with discrete time, will also simplify certain systems of differential equations in time continuous models. These models describe the variation of genotype frequencies in infinite populations in different mating systems. The cases considered include matings between individuals randomly drawn from the population at each mo...
متن کاملLong-time behavior of continuous time models in genetic algebras.
In [2] the solutions of Andreoli's differential equation in genetic algebras with genetic realization were shown to converge to equilibria. Here we derive an explicit formula for these limits.
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We discuss the long-time behavior of Andreoli's differential equation for genetic algebras and for Bernstein algebras and show convergence to an equilibrium in both cases. For a class of Bernstein algebras this equilibrium is determined explicitly.
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Quantitative methods seek to explore how a system evolves in the dimensions of space and time. The usual notion of space is a discrete one such as the reachable states of a high-level model, but others are possible, such as fluid models. The usual notion of time is a continuous one such as the average duration of activities, as used in stochastic processes governed by the exponential distributi...
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For a Banach algebra $fA$, we introduce ~$c.c(fA)$, the set of all $phiin fA^*$ such that $theta_phi:fAto fA^*$ is a completely continuous operator, where $theta_phi$ is defined by $theta_phi(a)=acdotphi$~~ for all $ain fA$. We call $fA$, a completely continuous Banach algebra if $c.c(fA)=fA^*$. We give some examples of completely continuous Banach algebras and a sufficient condition for an o...
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ژورنال
عنوان ژورنال: Theoretical Population Biology
سال: 1973
ISSN: 0040-5809
DOI: 10.1016/0040-5809(73)90024-5