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Displaying 61 – 80 of 149

On the analogy between self-gravitating Brownian particles and bacterial populations

Pierre-Henri Chavanis, Magali Ribot, Carole Rosier, Clément Sire (2004)

Banach Center Publications

We develop the analogy between self-gravitating Brownian particles and bacterial populations. In the high friction limit, the self-gravitating Brownian gas is described by the Smoluchowski-Poisson system. These equations can develop a self-similar collapse leading to a finite time singularity. Coincidentally, the Smoluchowski-Poisson system corresponds to a simplified version of the Keller-Segel model of bacterial populations. In this biological context, it describes the chemotactic aggregation...

On the approximability of comparing genomes with duplicates.

Angibaud, Sébastien, Fertin, Guillaume, Rusu, Irena, Thévenin, Annelyse, Vialette, Stéphane (2009)

Journal of Graph Algorithms and Applications

On the calculation of evolutionarily stable strategies.

Länger, Helmut (1994)

Mathematica Pannonica

On the calculation of optical characters of atmospheric aerosol and soot

V. I. Gryn, V. A. Ovsyannikov (1990)

Banach Center Publications

On the complex formation approach in modeling predator prey relations, mating, and sexual disease transmission.

Thieme, Horst R., Yang, Jinling (2000)

Electronic Journal of Differential Equations (EJDE) [electronic only]

On the complexity of the Double Digest Problem

J. Błażewicz, E. Burke, M. Jaroszewski, M. Kasprzak, B. Paliswiat, P. Pryputniewicz (2004)

Control and Cybernetics

On the control of a truncated general immigration process through the introduction of a predator.

Kyriakidis, E.G. (2006)

Journal of Applied Mathematics and Decision Sciences

On the controllability of a type of large scale CNN with delays.

Lara, Teodoro, Leiva, Hugo (2007)

Divulgaciones Matemáticas

On the Convolution of Logistic Random Variables.

G.S. Mudholkar, E.O. George (1983)

Metrika

On the dense trajectory of Lasota equation.

Dawidowicz, Antoni Leon, Haribash, Najemedin (2005)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

On the difference equation $x_{n + 1} = (α x_{n} + β x_{n - 1}) e^{- x_{n}}$ .

Ding, Xiaohua, Zhang, Rongyan (2008)

Advances in Difference Equations [electronic only]

On the discrete kinetic theory for active particles. Modelling the immune competition.

Brazzoli, I., Chauviere, A. (2006)

Computational & Mathematical Methods in Medicine

On the dynamics of a delayed SIR epidemic model with a modified saturated incidence rate.

Kaddar, Abdelilah (2009)

Electronic Journal of Differential Equations (EJDE) [electronic only]

On the Dynamics of a Two-Strain Influenza Model with Isolation

F. Chamchod, N.F. Britton (2012)

Mathematical Modelling of Natural Phenomena

Influenza has been responsible for human suffering and economic burden worldwide. Isolation is one of the most effective means to control the disease spread. In this work, we incorporate isolation into a two-strain model of influenza. We find that whether strains of influenza die out or coexist, or only one of them persists, it depends on the basic reproductive number of each influenza strain, cross-immunity between strains, and isolation rate. We propose criteria that may be useful for controlling...

On the dynamics of a vaccination model with multiple transmission ways

Shu Liao, Weiming Yang (2013)

International Journal of Applied Mathematics and Computer Science

In this paper, we present a vaccination model with multiple transmission ways and derive the control reproduction number. The stability analysis of both the disease-free and endemic equilibria is carried out, and bifurcation theory is applied to explore a variety of dynamics of this model. In addition, we present numerical simulations to verify the model predictions. Mathematical results suggest that vaccination is helpful for disease control by decreasing the control reproduction number below unity....

On the Dynamics of an Impulsive Model of Hematopoiesis

C. Kou, M. Adimy, A. Ducrot (2009)

Mathematical Modelling of Natural Phenomena

We propose and analyze a nonlinear mathematical model of hematopoiesis, describing the dynamics of stem cell population subject to impulsive perturbations. This is a system of two age-structured partial differential equations with impulses. By integrating these equations over the age, we obtain a system of two nonlinear impulsive differential equations with several discrete delays. This system describes the evolution of the total hematopoietic stem cell populations with impulses. We first examine...

On the equation $u_{t} = Δ u + M e x p u / \int e x p u d x$ in planar domains

Gershon Wolansky (2004)

Banach Center Publications

The blow-up of solutions for a parabolic equation with nonlocal exponential nonlinearity is studied.

On the estimation of averages over infinite intervals with an application to average persistence in population models.

Ellermeyer, Sean (2009)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

On the existence of equilibrium points, boundedness, oscillating behavior and positivity of a SVEIRS epidemic model under constant and impulsive vaccination.

De La Sen, M., Agarwal, Ravi P., Ibeas, A., Alonso-Quesada, S. (2011)

Advances in Difference Equations [electronic only]

On the expectation and variance of the reversal distance.

Székely, László, Yang, Yiting (2009)

Acta Universitatis Sapientiae. Mathematica

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