Analysis of logistic growth models

Mathematical Biosciences

Volumn 179, Issue 1, 2002, Pages 21-55

  Tsoularis, A ^a   Wallace, J ^b  

^a MASSEY UNIVERSITY   (New Zealand)

^b UNIVERSITY OF CENTRAL LANCASHIRE   (United Kingdom)

Author keywords

Beta function; Biological growth dynamics; Finite difference method; Gamma function; Generalized logistic growth; Incomplete beta function; Inflection point; Logistic growth; Mimimax; Saddle curve

Indexed keywords

GROWTH (MATERIALS); MATHEMATICAL TECHNIQUES;

VARIANTS;

LOGISTICS;

GROWTH; MODEL; POPULATION DYNAMICS;

ARTICLE; BIOLOGICAL MODEL; CHRONOSEQUENCE; COMPUTER PREDICTION; GROWTH CURVE; INTERMETHOD COMPARISON; MATHEMATICAL ANALYSIS; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; POPULATION DYNAMICS; POPULATION MODEL; STATISTICAL MODEL;

ANIMALS; GROWTH; LOGISTIC MODELS; MODELS, BIOLOGICAL; NUMERICAL ANALYSIS, COMPUTER-ASSISTED; POPULATION DYNAMICS;

EID: 0036287783     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0025-5564(02)00096-2     Document Type: Article

References (30)

1. Notice sur la loi que la population suit dans son accroissement
2. Über geschwindigkeit und grösse der hefevermehrung in würze
3. The growth of populations
4. Stochastic models of groupings changes
5. The fitting of a generalization of the logistic curve
6. On the rate of growth of the population of United States since 1790 and its mathematical representation
7. A flexible growth function for empirical use
8. A quantitative theory of organic growth
9. Logistic growth rate functions
10. A generalization of the logistic law of growth
11. A theory of growth
12. On the generalization of the logistic law of growth
13. Population dynamics in Daphnia Magna and a new model for population growth
14. Quantitation of hepatic growth and regeneration
15. A versatile growth model with statistically stable parameters
16. Analysis of growth equations
17. A new generalized logistic sigmoid growth equation compared with the richards growth equation
18. Analytical growth equations and their Genstat 5 equivalents
19. Growth of complex systems can be related to the properties of their underlying determinants
20. Growth equations: A general equation and a survey of special cases