Genealogies under logistic growth
We derive the asymptotic behaviour of the genealogy of a logistic branching process in the setting where the equilibrium population size is large. In three regimes on the tail of the offspring distribution we recover the Kingman, $\text{Beta}(2-α, α)$ and Bolthausen-Sznitman coalescents as a scaling parameter governing the population size is taken to ...
Garrett, Ruairi +1 more
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Revisiting the Logistic Growth with Random Disturbances [PDF]
Mathematica Applicanda, 2019 Summary: The logistic growth population model still can help explain ecological phenomena. We consider a simple 1-dimensional model of savanna introduced by \textit{P. D'Odorico} et al. [``A probabilistic analysis of fire-induced tree-grass coexistence in savannas'', Amer. Natur. 167, No. 3, E79--E87 (2006; \url{doi:10.1086/500617})] which is in fact a
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Predicting company growth using logistic regression and neural networks
Croatian Operational Research Review, 2016 The paper aims to establish an efficient model for predicting company growth by leveraging the strengths of logistic regression and neural networks. A real dataset of Croatian companies was used which described the relevant industry sector, financial ...
Marijana Zekić-Sušac +3 more
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Logistic-growth models measuring density feedback are sensitive to population declines, but not fluctuating carrying capacity. [PDF]
Ecol Evol, 2023 Bradshaw CJA, Herrando-Pérez S.
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Variogram investigation of covariance shape within longitudinal data with possible use of a krigeage technique as an interpolation tool: Sheep growth data as an example [PDF]
, 2014 peer-reviewedMost quantitative traits considered in livestock evolve over time and several continuous functions have been proposed to model this change.
Chalh, A., El Gazzah, M.
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A non-singular fractional-order logistic growth model with multi-scaling effects to analyze and forecast population growth in Bangladesh. [PDF]
Sci Rep, 2023 Ullah MS, Kabir KMA, Khan MAH.
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A Mathematical Perspective on the Influence of Allee Effects in Oncolytic Virotherapy
MathematicsThis article is concerned with the mathematical modeling of cancer virotherapy, emphasizing the impact of Allee effects on tumor cell growth. We propose a modeling framework that describes the complex interaction between tumor cells and oncolytic viruses.
Eymard Hernández-López, Jin Wang
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The mechanism shaping the logistic growth of mutation proportion in epidemics at population scale. [PDF]
Infect Dis Model, 2023 Zhao S +7 more
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A note on the von Bertalanffy growth function concerning the allocation of surplus energy to reproduction [PDF]
, 2012 We propose an extended form of the von Bertalanffy growth function (VBGF), where the allocation of surplus energy to reproduction is considered. Any function can be used in our model to describe the ratio of energy allocation for reproduction to that ...
Akamine, Tatsuro +3 more
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Population models with nonlinear boundary conditions
Electronic Journal of Differential Equations, 2010 We study a two point boundary-value problem describing the steady states of a Logistic growth population model with diffusion and constant yield harvesting. In particular, we focus on a model when a certain nonlinear boundary condition is satisfied.
Jerome Goddard +2 more
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