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Evolution of Biological Systems in Random Media: Limit Theorems and Stability
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Evolution of Biological Systems in Random Media: Limit Theorems and Stability Hardback - 2003 - 1st Edition

by Anatoly Swishchuk; Jianhong Wu

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From the publisher

The book is devoted to the study of limit theorems and stability of evolving biologieal systems of "particles" in random environment. Here the term "particle" is used broadly to include moleculas in the infected individuals considered in epidemie models, species in logistie growth models, age classes of population in demographics models, to name a few. The evolution of these biological systems is usually described by difference or differential equations in a given space X of the following type and dxt/dt = g(Xt, y), here, the vector x describes the state of the considered system, 9 specifies how the system's states are evolved in time (discrete or continuous), and the parameter y describes the change ofthe environment. For example, in the discrete-time logistic growth model or the continuous-time logistic growth model dNt/dt = r(y)Nt(l-Nt/K(y)), N or Nt is the population of the species at time n or t, r(y) is the per capita n birth rate, and K(y) is the carrying capacity of the environment, we naturally have X = R, X == Nn(X == Nt), g(x, y) = r(y)x(l-xl K(y)), xE X. Note that n t for a predator-prey model and for some epidemie models, we will have that X = 2 3 R and X = R, respectively. In th case of logistic growth models, parameters r(y) and K(y) normaIly depend on some random variable y.

First line

This chapter is devoted to the description of random environment, in the form of a Markov chain, a Markov renewal or a semi-Markov process, and its ergodic and martingale properties.

Details

  • Title Evolution of Biological Systems in Random Media: Limit Theorems and Stability
  • Author Anatoly Swishchuk; Jianhong Wu
  • Binding Hardback
  • Edition number 1st
  • Edition 1
  • Pages 218
  • Volumes 1
  • Language ENG
  • Publisher Springer
  • Publication date 2003-10-31
  • Features Bibliography, Index
  • ISBN 9781402015540 / 1402015542
  • Weight 1.11 lbs (0.50 kg)
  • Dimensions 9.76 x 6.48 x 0.74 in (24.79 x 16.46 x 1.88 cm)
  • Category Mathematics
  • Library of Congress subjects Random fields - Mathematical models, Limit theorems (Probability theory)
  • Library of Congress Catalogue Number 2003061857
  • Dewey Decimal Code 570.11
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.- Dordrecht - Boston - London. 2003. Kluwer Academic Publishers. 4º menor. XX- 216 pgs- 1 h. Cartoné editorial. Muy buen estado. . . ISBN 10: 1402015542. ISBN 13: 9781402015540. Matemáticas / Biología
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Evolution of Biological Systems in Random Media: Limit Theorems and Stability

Evolution of Biological Systems in Random Media: Limit Theorems and Stability

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Hardcover. New. New Book; Fast Shipping from UK; Not signed; Not First Edition; The book is devoted to the study of limit theorems and stability of evolving biologieal systems of "particles" in random environment. Here the term "particle" is used broadly to include moleculas in the infected individuals considered i
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Evolution of Biological Systems in Random Media
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Evolution of Biological Systems in Random Media

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