Visit our Christmas Gift Finder
Evolution of Biological Systems in Random Media: Limit Theorems and Stability - Mathematical Modelling: Theory and Applications 18 (Paperback)
  • Evolution of Biological Systems in Random Media: Limit Theorems and Stability - Mathematical Modelling: Theory and Applications 18 (Paperback)
zoom

Evolution of Biological Systems in Random Media: Limit Theorems and Stability - Mathematical Modelling: Theory and Applications 18 (Paperback)

(author), (author)
£74.99
Paperback 218 Pages / Published: 07/12/2010
  • We can order this

Usually dispatched within 3 weeks

  • This item has been added to your basket
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.

Publisher: Springer
ISBN: 9789048163984
Number of pages: 218
Weight: 373 g
Dimensions: 235 x 155 x 12 mm
Edition: Softcover reprint of the original 1st ed. 200

You may also be interested in...

Easy Mathematics for Biologists
Added to basket
The Chemistry Maths Book
Added to basket
Advanced Engineering Mathematics
Added to basket
Mathematical Techniques
Added to basket
Maths for Chemists
Added to basket
Introducing Infinity
Added to basket
Linear Algebra
Added to basket
£31.49
Paperback
Probability
Added to basket
£26.49
Paperback
Foundation Mathematics for Biosciences
Added to basket
Maths: A Student's Survival Guide
Added to basket
Mathematics for Engineers (with CD)
Added to basket
Data Handling and Analysis
Added to basket
Biomeasurement
Added to basket
£28.99
Paperback

Please sign in to write a review

Your review has been submitted successfully.