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Logistic population growth under random dispersal
Bulletin of Mathematical Biology, 1987Various diffusion processes employed for modelling logistic growth are briefly summarized. A discrete-time, discrete-state space stochastic process for population growth is proposed and analyzed with either Bose- Einstein or Maxwell-Boltzmann statistics for the distribution of offspring in available sites in a restricted region.
Tuckwell, Henry C., Koziol, James A.
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Technological Forecasting and Social Change, 1994
Abstract The S-shaped logistic growth model has been extensively studied and applied to a wide range of biological and socio-technical systems. A model, the Bi-logistic, is presented for the analysis of systems that experience two phases of logistic growth, either overlapping or sequentially.
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Abstract The S-shaped logistic growth model has been extensively studied and applied to a wide range of biological and socio-technical systems. A model, the Bi-logistic, is presented for the analysis of systems that experience two phases of logistic growth, either overlapping or sequentially.
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2003
Differential equation models, whether ordinary, delay, partial or stochastic, imply a continuous overlap of generations. Many species leave no overlap between successive generations and so population growth is in discrete steps. For primitive organisms, these discrete steps can be quite short, and hence a continuous (in time) model may be a reasonable ...
Anatoly Swishchuk, Jianhong Wu
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Differential equation models, whether ordinary, delay, partial or stochastic, imply a continuous overlap of generations. Many species leave no overlap between successive generations and so population growth is in discrete steps. For primitive organisms, these discrete steps can be quite short, and hence a continuous (in time) model may be a reasonable ...
Anatoly Swishchuk, Jianhong Wu
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2011
Logistic model is widely used growth model with many useful properties for technological and market development forecasting. The chapter presents developed modifications of the model that are suitable for particular cases of new product adoption forecasting. Limitations of the logistic model are shown and discussed.
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Logistic model is widely used growth model with many useful properties for technological and market development forecasting. The chapter presents developed modifications of the model that are suitable for particular cases of new product adoption forecasting. Limitations of the logistic model are shown and discussed.
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Technology, Logistics and Growth
SSRN Electronic Journal, 2017It is claimed that technology is a competitive advantage for a company and that finally fosters economic growth (Marinagi, et al., 2014). Besides it is held that logistics promote economic growth (Hayaloglu, 2015), through the consumption-led growth theory. In the present paper an effort will be made at country level to estimate the relative importance
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2017
Starting from this chapter, we focus on special stochastic processes that are important in physics, biology, and sociology. The models are not chosen at random. They form a coherent structure and tell a story. All the models are minimal in term of their number of parameters and can be classified as either invasion models or as competition models.
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Starting from this chapter, we focus on special stochastic processes that are important in physics, biology, and sociology. The models are not chosen at random. They form a coherent structure and tell a story. All the models are minimal in term of their number of parameters and can be classified as either invasion models or as competition models.
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Comparison of Logistic Equations for Population Growth
Biometrics, 1975Two different forms of the logistic equation for population growth appear in the ecological literature. In the form of the logistic equation that appears in recent ecology textbooks the parameters are the instantaneous rate of natural increase per individual and the carrying capacity of the environment. In the form of the logistic equation that appears
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A generalized logistic model for photosynthetic growth
Ecological Modelling, 1997Abstract This paper presents a model for the photosynthetic growth of C 3 green plants, consisting of a 1-periodic scalar first order nonautonomous ordinary differential equation, of the generalized logistic type. The model is tested both mathematically and experimentally.
INVERNIZZI, SERGIO, Terpin K.
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Frequency-dependent selection in logistic growth models
Theoretical Population Biology, 1986This paper describes the dynamics of a continuously reproducing diploid population with two alleles at one locus. The dependent variables are allele frequency and population density. We modify the basic density-dependent logistic growth model by inserting three possible types of frequency dependence in the fitness functions.
Namkoong, Gene, Selgrade, James F.
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Environmentally induced dispersal under heterogeneous logistic growth
Mathematical Biosciences, 2006We consider a single-species model which is composed of several habitats connected by linear migration rates and having logistic growth. A spatially varying, temporally constant environment is introduced by the non-homogeneity of its carrying capacity.
Padrón, Víctor +1 more
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