182. Note: An Alternative Form of a Generalized Logistic Equation

Biometrics ◽  
1962 ◽  
Vol 18 (4) ◽  
pp. 614 ◽  
Author(s):  
J. A. Nelder
Keyword(s):  
Logistic Equation ◽  
Alternative Form ◽  
Generalized Logistic Equation

Permanence and extinction of a single species model in polluted environment

2020 ◽  
Vol 13 (04) ◽  
pp. 2050031
Author(s):  
Jiandong Zhao ◽  
Tonghua Zhang
Keyword(s):  
Sufficient Conditions ◽  
Single Species ◽  
Logistic Equation ◽  
Polluted Environment ◽  
Math Model ◽  
Generalized Logistic Equation ◽  
Appl Math ◽  
Single Species Model

Under the assumption that the growth of the population satisfies the generalized logistic equation, a new single species model in polluted environment is proposed in this work. Sufficient conditions for permanence and extinction of the species in the model are given respectively. It is shown that our model and the results are improvements of those in He and Wang [Appl. Math. Model. 31 (2007) 2227–2238].

scholarly journals A new four-parameter, generalized logistic equation and its applications to mammalian somatic growth

2000 ◽  
Vol 45 ◽  
pp. 145-153 ◽  
Author(s):  
Xinrong Wan ◽  
Mengjun Wang ◽  
Guanghe Wang ◽  
Wenqin Zhong
Keyword(s):  
Somatic Growth ◽  
Logistic Equation ◽  
Generalized Logistic Equation

Generalized Logistic Equation Modeling of Mammalian Cell Batch Cultures

2005 ◽  
pp. 601-604
Author(s):  
Chetan Goudar ◽  
Rüdiger Heidemann ◽  
Klaus Joeris ◽  
James Michaels ◽  
James Piret ◽  
...  
Keyword(s):  
Mammalian Cell ◽  
Logistic Equation ◽  
Equation Modeling ◽  
Batch Cultures ◽  
Generalized Logistic Equation

Average conditions for permanence and extinction in nonautonomous single-species Kolmogorov systems

2017 ◽  
Vol 10 (02) ◽  
pp. 1750028
Author(s):  
Jiandong Zhao ◽  
Zhenzhen Chen
Keyword(s):  
Global Attractivity ◽  
Single Species ◽  
Logistic Equation ◽  
Math Biol ◽  
Kolmogorov System ◽  
Generalized Logistic Equation

The nonautonomous single-species Kolmogorov system is studied in this paper. Average conditions are obtained for permanence, global attractivity and extinction in the system. Applications of our main results to logistic equation and generalized logistic equation are given. It is shown that our average conditions are improvement of those in Vance and Coddington [J. Math. Biol. 27 (1989) 491–506] and some published literature on the system.

scholarly journals Transversality conditions for the existence of solutions of first-order discontinuous functional differential equations

2021 ◽  
pp. 1-17
Author(s):  
Rodrigo López Pouso ◽  
Ignacio Márquez Albés ◽  
Jorge Rodríguez-López
Keyword(s):  
Existence Result ◽  
Existence Of Solutions ◽  
Functional Differential Equations ◽  
Logistic Equation ◽  
Monotone Iterative Method ◽  
Transversality Conditions ◽  
First Order ◽  
Monotone Iterative ◽  
Functional Differential ◽  
Generalized Logistic Equation

We are concerned with the existence of extremal solutions to a large class of first-order functional differential problems under weak regularity assumptions. Our technique involves multivalued analysis and the method of lower and upper solutions in order to obtain a new existence result to a scalar Cauchy problem. As a consequence of this result and a monotone iterative method for discontinuous operators, we derive our main existence result which is illustrated by several examples concerning well-known models: a generalized logistic equation or second-order problems in the presence of dry friction.

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