Proliferation in Cell Population Models with Age Structure

Author(s):  
Frédérique Billy ◽  
Jean Clairambault ◽  
Olivier Fercoq ◽  
Stéphane Gaubert ◽  
Thomas Lepoutre ◽  
...  
2014 ◽  
Vol 96 ◽  
pp. 66-94 ◽  
Author(s):  
Frédérique Billy ◽  
Jean Clairambaultt ◽  
Olivier Fercoq ◽  
Stéphane Gaubertt ◽  
Thomas Lepoutre ◽  
...  

2020 ◽  
pp. 161-166
Author(s):  
Marthak Rutu

In this research paper one dimensional population models developed centuries ago shows that growth and/decay of single homogeneous populations But environmental effects spatial heterogeneity or age-structure deterministic models prevailing single species population models.


1967 ◽  
Vol 4 (01) ◽  
pp. 209-213 ◽  
Author(s):  
J. H. Pollard

The analysis of an organization having various grades of employee has been undertaken in many different contexts. In 1961, for example, Young and Almond considered an institution (of undisclosed type) having six grades of staff. Gani, in 1963, considered ‘Australian Universities’ as an organization and students were graded according to their stage of study. The author used techniques similar to those of this paper in 1964 to analyze deterministically the age structure of the Australian Academy of Science. Indeed, the analyses have usually been deterministic.


2012 ◽  
Author(s):  
Frédérique Billy ◽  
Jean Clairambault ◽  
Olivier Fercoq ◽  
Tommaso Lorenzi ◽  
Alexander Lorz ◽  
...  

2012 ◽  
Vol 311 ◽  
pp. 19-27 ◽  
Author(s):  
Pierre Gabriel ◽  
Shawn P. Garbett ◽  
Vito Quaranta ◽  
Darren R. Tyson ◽  
Glenn F. Webb

2021 ◽  
pp. 47-60
Author(s):  
Timothy E. Essington

The chapter “Structured Population Models” illustrates how one adds more detail to a model, first through density-independent models, then by showing common matrix-model formulations and how those are used to reveal properties of structured models (e.g. population growth rate, stage/age structure). Structured population models have more detail than their nonstructured counterparts. They account for the differences among individuals within a population, usually by explicitly modeling them as distinct state variables. Elasticity analysis is introduced as a way to identify life stages that have a disproportionately large influence on population growth rate. Structured density-dependent models are briefly introduced as extensions on these models.


2014 ◽  
Vol 102 (2) ◽  
pp. 531-543 ◽  
Author(s):  
Chengjin Chu ◽  
Peter B. Adler

2000 ◽  
Vol 1 (2) ◽  
pp. 247-260
Author(s):  
Xinzhi Liu ◽  
S. Sivaloganathan ◽  
Shenghai Zhang

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