4 articles for “locally asymptotically stability”

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Research ArticleOpen accessIn the keywordsMathematical Analysis of the Non Linear Epidemic ModelLaid Chahrazed-Rahmani Fouad LazharClassical epidemic models assume that the size of the total population is constant. More recent models consider a population size variable to take into account a longer period with death and disease causing reduced reproductive. The model contains a disease-free equilibrium and one or multiple equilibria are endemic. The stability of a disease-free status equilibrium and the existence of other … …Journal of Mathematics and Statistics, Vol. 8, Issue 2 · 19 Jun 2012 · 7,170 accessesView PDF Cite

Research ArticleOpen accessIn the abstractModeling the Dynamics of Tuberculosis Transmission in Children and AdultsF. Nyabadza, M. KgosimoreProblem statement: The fight Against Tuberculosis (TB) has mainly focused on the adult population because children were perceived to pose a very low risk in TB transmission. This assumption ignores the potential risk children had as reservoirs of latent infections from which future cases evolve when they become adults. It was therefore important to investigate the dynamics of TB taking … …Journal of Mathematics and Statistics, Vol. 8, Issue 2 · 5 Jun 2012 · 7,153 accessesView PDF Cite

Research ArticleOpen accessIn the abstractEffect of Mosquito Repellent on the Transmission Model of Chikungunya FeverSurapol Naowarat, Prasit Thongjaem, I. Ming TangProblem statement: In 2008 there was a large outbreak of Chikungunya fever in southern Thailand. Chikungunya fever is an emerging disease which tends to affect rubber plantation and fruit orchard workers more than other occupation. This study we considers the efficacy of using mosquito repellent as a way to prevent and control the spread of Chikungunya fever. The mathematical model … …American Journal of Applied Sciences, Vol. 9, Issue 4 · 14 Feb 2012 · 7,514 accessesView PDF Cite

Research ArticleOpen accessIn the abstractDynamical Model for Determining Human Susceptibility to Dengue FeverSurapol Naowarat, Thanon Korkiatsakul, I. Ming TangProblem statement: Mathematical models are a useful tool for understanding and describing the transmission of diseases such as dengue fever, one of the most prevalently emerging diseases common to tropical and subtropical areas throughout South East Asia. By taking into account human susceptibility to disease, the dynamics of a dengue disease model is proposed. Approach: Using standard methods for analyzing … …American Journal of Applied Sciences, Vol. 8, Issue 11 · 28 Sep 2011 · 7,735 accessesView PDF Cite