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20 articles for “endemic model”
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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 · 9,057 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 · 6,511 accessesView PDFCite
Research ArticleOpen accessIn the keywordsGlobal Analysis of an Epidemic Model with Non-Linear Incidence RateS. A.A. El-Marouf, S. M. AlihabyProblem statement: In this study the equilibrium points and their local stability are found for SIQ and SIQR epidemic models with three forms of the incidence rates. Also, we study the global stability of the equilibrium by constructing the new forms of Liapounov functions. Conclusion/Recommendations: We explored the existence of Hopf bifurcation for some parameters in the given model. …Journal of Mathematics and Statistics, Vol. 7, Issue 4 · 28 Oct 2011 · 7,274 accessesView PDFCite
Research ArticleOpen accessIn the abstractDengue Fever Prediction Empowered by Radial Basis Function Networks, Dynamic Mode Decomposition, and Learning-Based Foraging AlgorithmArchana T, Faritha Banu JDengue fever is presently considered a major health threat that must be addressed. External and internal factors that induce nonlinear oscillations in the occurrence of dengue disease have made optimal resource allocation stimulating. Public health initiatives aimed at eradicating this vector use accurate and timely data through field processes. In dengue-endemic nations, early dengue prediction remains a main concern for … …Journal of Computer Science, Vol. 22, Issue 4 · 16 Apr 2026 · 1,496 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Path Analysis to Understanding the Epidemiology of Murine Typhus in South TexasHongwei Wang, Orlando M. Patricio, Fernando G. Quintana et al.This study aims to investigate statistically if there is a causality for the murine typhus endemic disease related to precipitation, temperature and the natural cycle of flea development in South Texas. Path analysis was used to determine the mediating and moderating variables that cause murine typhus disease. Three path diagram models were tested. Model 3 shows a clearer path on … …Journal of Mathematics and Statistics, Vol. 20, Issue 1 · 4 Mar 2024 · 5,584 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 · 6,294 accessesView PDFCite
Research ArticleOpen accessIn the abstractClimate Change-An Unprecedented Challenge for Humankind Survival; Energy Exploitation from the Atmospheric Electrical CircuitGiovanni Pietro Gregori, Bruce Allen LeybourneA more detailed summary is given in the last part (1/4th) of the Introduction. An anomalous period is in progress, characterized by a very intense release of endogenous energy from the Earth. The cause is an ongoing heartbeat of the Earth’s electrocardiogram. Humankind’s history spans a much shorter duration. Hence, at present the humans are going to face an unprecedented … …American Journal of Engineering and Applied Sciences, Vol. 14, Issue 2 · 2 Nov 2021 · 6,450 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 · 8,274 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 · 7,228 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 · 7,170 accessesView PDFCite