Results 71 to 80 of about 957 (157)
Necrotic tumor growth: an analytic approach
The present paper deals with a free boundary problem modeling the growth process of necrotic multi-layer tumors. We prove the existence of flat stationary solutions and determine the linearization of our model at such an equilibrium.
A Friedman +14 more
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On some Free Boundary Problems of the Prey-predator Model [PDF]
In this paper we investigate some free boundary problems for the Lotka-Volterra type prey-predator model in one space dimension. The main objective is to understand the asymptotic behavior of the two species (prey and predator) spreading via a free ...
Wang, Mingxin
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Global periodic solutions in a plankton-fish interaction model with toxication delay
In this paper, a plankton-fish interaction model is proposed and analyzed with the help of delay differential equations. Firstly, the elementary dynamical properties of the system in the absence of time delay is discussed.
Sharma Amit
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STOCHASTIC DYNAMICS OF CELL LINEAGE IN TISSUE HOMEOSTASIS. [PDF]
During epithelium tissue maintenance, lineages of cells differentiate and proliferate in a coordinated way to provide the desirable size and spatial organization of different types of cells.
Chen, Weitao, Nie, Qing, Qiu, Yuchi
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An Optimal Control Analysis of Dengue Fever
Dengue fever is one of the most infectious diseases in the world, according to data issued by the World Health Organization in 2014. It is responsible for a huge number of deaths each year around the world, particularly in tropical nations.
Nur Ilmayasinta +3 more
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In this study, we model the transmission of COVID-19 by considering vaccination and quarantine interventions. The focus of our study is to measure the effect of these two interventions on controlling the spread of COVID-19.
Faizal Rifky Fahreza +2 more
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Sets of double and triple weights of trees
Let T be a weighted tree with n leaves. Let D_{i,j} be the distance between the leaves i and j. Let D_{i,j,k}= (D_{i,j} + D_{j,k} +D_{i,k})/2. We will call such numbers "triple weights" of the tree.
Rubei, Elena
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Growth rate, evolutionary entropy and ageing across the tree of life
The growth rate of a population serves as a measure of its Darwinian fitness, while its sensitivity indicates the intensity of selection. Generally, the sensitivity of r decreases with age, resulting in an expected increase in population mortality over ...
Jorge Buescu +2 more
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Global stability analysis and control of leptospirosis
The aim of this paper is to investigate the effectiveness and cost-effectiveness of leptospirosis control measures, preventive vaccination and treatment of infective humans that may curtail the disease transmission. For this, a mathematical model for the
Okosun Kazeem Oare +2 more
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We study the multidimensional aggregation equation $u_t+\Div(uv)=0$, $v=-\nabla K*u$ with initial data in $\cP_2(\bR^d)\cap L_{p}(\bR^d)$. We prove that with biological relevant potential $K(x)=|x|$, the equation is ill-posed in the critical Lebesgue ...
Dong, Hongjie
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