Global dynamics of a novel delayed logistic equation arising from cell biology [PDF]
The delayed logistic equation (also known as Hutchinson's equation or Wright's equation) was originally introduced to explain oscillatory phenomena in ecological dynamics.
Baker, Ruth E., Röst, Gergely
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Predicting population extinction or disease outbreaks with stochastic models
Models of exponential growth, logistic growth and epidemics are common applications in undergraduate differential equation courses. The corresponding stochastic models are not part of these courses, although when population sizes are small their ...
Linda J. S. Allen +2 more
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Effect of temperature on Brettanomyces bruxellensis: metabolic and kinetic aspects [PDF]
The effect of temperatures ranging from 15 to 35 °C on a culture of Brettanomyces bruxellensis was investigated in regards to thermodynamics, metabolism, and kinetics. In this temperature range, we observed an increase in growth and production rates. The
Brandam, Cédric +4 more
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Using an inverse-logistic model to describe growth increments of blacklip abalone (Haliotis rubra) in Tasmania [PDF]
A new description of growth in blacklip abalone (Haliotis rubra) with the use of an inverse-logistic model is introduced. The inverse-logistic model avoids the disadvantageous assumptions of either rapid or slow growth for small and juvenile individuals ...
Haddon, Malcolm +2 more
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Diffusive Logistic Equations with Harvesting and Heterogeneity Under Strong Growth Rate
We consider the equation −Δu=au−b(x)u2−ch(x) in Ω,u=0 on ∂Ω, where Ω is a smooth bounded domain in RN, b(x) and h(x) are nonnegative functions, and there exists Ω0⊂⊂Ω such that {x:b(x)=0}=Ω¯¯¯0.
Rokn-e-vafa, Saeed Shabani +1 more
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Correlated noise in a logistic growth model [PDF]
The logistic differential equation is used to analyze cancer cell population, in the presence of a correlated Gaussian white noise. We study the steady state properties of tumor cell growth and discuss the effects of the correlated noise. It is found that the degree of correlation of the noise can cause tumor cell extinction.
Ai, Bao-Quan +3 more
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Media alert in an SIS epidemic model with logistic growth
In general, media coverage would not be implemented unless the number of infected cases reaches some critical number. To reflect this feature, we incorporate the media effect and a critical number of infected cases into the disease transmission rate and ...
Lianwen Wang +4 more
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Estimation of the growth curve parameters in Macrobrachium rosenbergii [PDF]
Growth is one of the most important characteristics of cultured species. The objective of this study was to determine the fitness of linear, log linear, polynomial, exponential and Logistic functions to the growth curves of Macrobrachium rosenbergii ...
Gopal, Krishna +3 more
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The logistic function - its application to the description and prognosis of plant growth
A logistic function in the form of y=A/(1 +be-rt) was used in this paper to analyse the growth of plants. The first, second and third derivatives of the above equation served as the basis for constructing growth, growth rate and growth acceleration ...
Andrzej Gregorczyk
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Application of Logistic Growth Curve
AbstractEfficient design of new processes and products requires not only an effective problem solving, but reliable forecasts of coming and distant changes. Decision making about investments into emerging technologies and strategic planning activities also rely upon consistent forecasts of technological substitution.
Kucharavy, Dmitry, De Guio, Roland
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