The abstract renewal equation.
Schwabik, Štefan (2000)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Zhang, Juping, Jin, Zhen (2010)
Discrete Dynamics in Nature and Society
Twarock, R. (2005)
Journal of Theoretical Medicine
H. Inaba, H. Nishiura (2008)
Mathematical Modelling of Natural Phenomena
Although age-related heterogeneity of infection has been addressed in various epidemic models assuming a demographically stationary population, only a few studies have explicitly dealt with age-specific patterns of transmission in growing or decreasing population. To discuss the threshold principle realistically, the present study investigates an age-duration-structured SIR epidemic model assuming a stable host population, as the first scheme to account for the non-stationality of the host population....
Philippe Laurençot, Dariusz Wrzosek (1998)
Colloquium Mathematicae
Székely, Laszlo A., Erdős, Péter L., Steel, M.A. (1992)
Séminaire Lotharingien de Combinatoire [electronic only]
Taylor, Jesse E. (2007)
Electronic Journal of Probability [electronic only]
Giapalaki, S.N., Kariotou, F. (2006)
Abstract and Applied Analysis
Fan, Dejun, Wang, Ke, Hong, Ling (2009)
Mathematical Problems in Engineering
Dariusz Jabłoński (2002)
Applicationes Mathematicae
Sufficient conditions for the existence of a topological conjugacy between a cascade obtained from a weakly nonlinear flow by fixing the time step and a cascade obtained by the Euler method are analysed. The aim of this paper is to provide relations between constants in the Fečkan theorem. Given such relations an implementation of a weakly nonlinear neuron is possible.
Stephan Luckhaus, Livio Triolo (2004)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
A competition-diffusion system, where populations of healthy and malignant cells compete and move on a neutral matrix, is analyzed. A coupled system of degenerate nonlinear parabolic equations is derived through a scaling procedure from the microscopic, Markovian dynamics. The healthy cells move much slower than the malignant ones, such that no diffusion for their density survives in the limit. The malignant cells may locally accumulate, while for the healthy ones an exclusion rule is considered....
Guiot, C., Todros, T., Piantà, P.G., Sciarrone, A., Kosanke, G., Kaufmann, P. (1999)
Journal of Theoretical Medicine
Alsharawi, Ziyad, Ben Haj Rhouma, Mohamed (2010)
Advances in Difference Equations [electronic only]
Lin Jun Wang, You Xiang Xie, Qi Cheng Deng (2018)
Kybernetika
In this paper, we propose a new impulsive predator prey model with impulsive control at different fixed moments and analyze its interesting dynamic behaviors. Sufficient conditions for the globally asymptotical stability of the semi-trivial periodic solution and the permanence of the present model are obtained by Floquet theory of impulsive differential equation and small amplitude perturbation skills. Existences of the "infection-free" periodic solution and the "predator-free" solution are analyzed...
Xue, Yakui, Duan, Xiafeng (2011)
Discrete Dynamics in Nature and Society
Gontar, V. (2004)
Discrete Dynamics in Nature and Society
Raphaël Cerf (1996)
Annales de l'I.H.P. Probabilités et statistiques
Zhang, Juping, Jin, Zhen, Xue, Yakui, Li, Youwen (2009)
Discrete Dynamics in Nature and Society
E. Agyingi, S. Maggelakis, D. Ross (2010)
Mathematical Modelling of Natural Phenomena
Epidermal wound healing is a complex process that repairs injured tissue. The complexity of this process increases when bacteria are present in a wound; the bacteria interaction determines whether infection sets in. Because of underlying physiological problems infected wounds do not follow the normal healing pattern. In this paper we present a mathematical model of the healing of both infected and uninfected wounds. At the core of our model is an...
Jiao, Jianjun (2010)
Discrete Dynamics in Nature and Society