Name: time lags in biological models (en Inglés)
Price: 304835.00 COP
Availability: InStock
Author: MacDonald, N.
ISBN: 9783540090922

portada time lags in biological models (en Inglés)

Formato

Libro Físico

Autor

N. MacDonald

Editorial

Springer

Año

1978

Idioma

Inglés

N° páginas

114

Encuadernación

Tapa Blanda

Dimensiones

24.4 x 17.0 x 0.7 cm

Peso

0.22 kg.

ISBN

3540090924

ISBN13

9783540090922

Categorías

Matemáticas
Biología

time lags in biological models (en Inglés)

N. MacDonald (Autor) · Springer · Tapa Blanda

Libro Nuevo

$ 304.835

$ 508.059

Ahorras: $ 203.224

40% descuento

Envío normal

Origen: Estados Unidos (Costos de importación incluídos en el precio)

Se enviará desde nuestra bodega entre el Lunes 15 de Julio y el Miércoles 24 de Julio.

Lo recibirás en cualquier lugar de Colombia entre 1 y 5 días hábiles luego del envío.

Reseña del libro "time lags in biological models (en Inglés)"

In many biological models it is necessary to allow the rates of change of the variables to depend on the past history, rather than only the current values, of the variables. The models may require discrete lags, with the use of delay-differential equations, or distributed lags, with the use of integro-differential equations. In these lecture notes I discuss the reasons for including lags, especially distributed lags, in biological models. These reasons may be inherent in the system studied, or may be the result of simplifying assumptions made in the model used. I examine some of the techniques available for studying the solution of the equations. A large proportion of the material presented relates to a special method that can be applied to a particular class of distributed lags. This method uses an extended set of ordinary differential equations. I examine the local stability of equilibrium points, and the existence and frequency of periodic solutions. I discuss the qualitative effects of lags, and how these differ according to the choice of discrete or distributed lag. The models studied are drawn from the population dynamiCS of single species (logistic growth, the chemostat) and of interacting pairs of species (predation, mutualism), from cell population dynamiCS (haemopoiesis) and from biochemical kinetics (the Goodwin oscillator). The last chapter is devoted to a population model employing difference equations. All these models include non-linear terms.