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13 results for “endemic equilibrium”
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Research ArticleOpen accessIn the keywordsThe SEIR Dynamical Transmission Model of Dengue Disease with and Without the Vertical Transmission of the VirusPratchaya Chanprasopchai, I. Ming Tang, Puntani PongsumpunThe transmission of dengue disease when there is a possibility of Vertical Transmission (VT) is studied using mathematical modeling. In the normal case, the mosquito is infected by the dengue virus when it bites an infectious human being. Evidence is gathering that the mosquitoes can also be infected through sexual contact with infected male mosquito. To see the possible consequence … …American Journal of Applied Sciences, Vol. 14, Issue 12 · 2 Jan 2018 · 9,061 accessesView PDFCite
Research ArticleOpen accessIn the keywordsSIR Transmission Model of Dengue Virus Taking Into Account Two Species of Mosquitoes and an Age Structure in the Human PopulationR. Sungchasit, P. Pongsumpun, I. M. TangDengue is a vector-borne disease. It is transmitted to humans by the bites of the Aedes aegypti and Aedes albopictus mosquitoes. The human population is separated into two classes, a child class and an adult class, each class being described by a SIR model. The transmission rates of the two mosquito species are different and depend on what class the … …American Journal of Applied Sciences, Vol. 12, Issue 6 · 28 Jul 2015 · 6,516 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA 2-Dimensional Model for the Transmission Dynamics of Schistosomiasis in the Human-Snail HostsG. Besigye-BafakiThe modes of transmission of schistosomiasis are considered. The transmission model is developed with an aim of establishing possible endemic equilibria within the community. Analysis of the model reveals that if the recovery rate β of human infectives and the death rate of snails δ are increased and if at the same time the contact rate κ of the human … …American Journal of Applied Sciences, Vol. 3, Issue 5 · 31 May 2006 · 6,510 accessesView PDFCite
Research ArticleOpen accessIn the abstractDynamical Analysis on the Transmission of Pertussis with Maternally Derived ImmunityAisha Aliyu Yakubu, Farah Aini Abdullah, Ahmad Izani Md Ismail, Yazariah Mohd YatimA susceptible-infected-recovered compartmental model incorporating maternally derived immunity compartment is analyzed in this study. The stability of the pertussis-disease-free and endemic equilibrium is studied. The basic reproduction number is obtained and its behavior analyzed by varying parameters. Numerical simulations indicated that when the waning parameter is increased, the frequency at which the population attains stability varies. However, the infected population … …Journal of Mathematics and Statistics, Vol. 16, Issue 1 · 26 Jun 2020 · 6,299 accessesView PDFCite
Research ArticleOpen accessIn the abstractLyapunov Function for a Dengue Transmission Model where two Species of Mosquitoes are Present: Global StabilityI Ming Tang, Rattiya Sungchasit, Puntani PongsumpunIn this study, we are interested in the newly observed endemic due to the ZIKA virus. In the absence of a full knowledge of the dynamics of the infection due to this virus, we consider a model of the closely related dengue virus when there are two species of mosquitoes, A. aegypti and A. albopictus mosquitoes who are both capable … …American Journal of Applied Sciences, Vol. 14, Issue 10 · 25 Oct 2017 · 8,281 accessesView PDFCite
Research ArticleOpen accessIn the abstractTransmission Model of Chikungunya Fever in the Presence of Two Species of Aedes MosquitoesSurapol Naowarat, I. Ming TangIn 2008 there was a large outbreak of Chikungunya fever in the south of Thailand. Chikungunya fever is a febrile disease transmitted to humans by the bite of infected Aedes mosquitoes. The symptoms of this disease are a sudden onset of a fever, chills, headache, nausea, vomiting, joint pain with or without swelling, low back pain and rash. In this … …American Journal of Applied Sciences, Vol. 10, Issue 5 · 27 May 2013 · 7,232 accessesView PDFCite
Research ArticleOpen accessIn the abstractMathematical 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 · 7,173 accessesView PDFCite
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 · 7,155 accessesView PDFCite
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 · 7,520 accessesView PDFCite
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 · 7,741 accessesView PDFCite