Pii: S0025-5564(00)00022-5
نویسنده
چکیده
A mathematical model is developed which describes the dynamics of radiation-induced mortality of a non-homogeneous (in radiosensitivity) mammalian population. It relates statistical biometric functions with statistical and dynamic characteristics of a critical system in organism of specimens composing this population. The model involves two types of distributions, the normal and the log-normal, of population specimens with respect to the radiosensitivity of the critical system cells. This approach suggests a new pathway in developing the methods of radiation risk assessment. Ó 2000 Elsevier Science Inc. All rights reserved.
منابع مشابه
Pii: S0025-5564(00)00005-5
We consider a single-species model which is composed of several patches connected by linear migration rates and having logistic growth with a threshold. We show the existence of an aggregating mechanism that allows the survival of a species which is in danger of extinction due to its low population density. Numerical experiments illustrate these results. Ó 2000 Elsevier Science Inc. All rights ...
متن کاملPii: S0025-5564(00)00033-x
In this paper, we establish a mathematical model of two species with stage structure and the relation of predator±prey, to obtain the necessary and sucient condition for the permanence of two species and the extinction of one species or two species. We also obtain the optimal harvesting policy and the threshold of the harvesting for sustainable development. Ó 2000 Elsevier Science Inc. All rig...
متن کاملPii: S0025-5564(00)00049-3
A two-dimensional bio®lm model was developed based on the concept of cellular automata. Three simple, generic processes were included in the model: cell growth, internal and external mass transport and cell detachment (erosion). The model generated a diverse range of bio®lm morphologies (from dense layers to open, mushroom-like forms) similar to those observed in real bio®lm systems. Bulk nutri...
متن کاملPii: S0025-5564(00)00011-0
Global existence and regularity results are provided for weakly coupled ®rst order hyperbolic systems modeling the propagation of the Feline Leukemia Virus (FeLV), a retrovirus of domestic cats (Felis catus). In a simple example we ®nd a threshold parameter yielding endemic stationary states. Ó 2000 Elsevier Science Inc. All rights reserved. MSC: 92D30; 35L45; 35B60; 35B65
متن کاملPii: S0025-5564(00)00047-x
In this paper extensions to an existing procedure for generating locally identi®able reparameterisations of unidenti®able systems are presented. These extensions further formalise the constructive nature of the methodology and lend themselves to application within symbolic manipulation packages. The extended reparameterisation procedure is described in detail and is illustrated with application...
متن کامل