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12 articles for “basic reproduction number”
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Research ArticleOpen accessPhrase in the titleA Novel Characterization of the Incidence Term in Epidemic Models: Interpretation of the Resulting Basic Reproduction Number in Terms of Healthcare AccessibilityFrancis BenyahWe propose a novel characterization of the incidence term in mathematical epidemic models. This new characterization takes into consideration the fact that at any given time, only a proportion $\kappa \ (0 \, \le \, \kappa \, \le \, 1)$, of infectives have access to healthcare. Infectives without access remain untreated and therefore, become reservoirs for new transmissions.The proposed incidence … …Journal of Mathematics and Statistics, Vol. 22, Issue 1 · 1 Oct 2026 · 582 accessesView PDFCite
Research ArticleOpen accessIn the keywordsDynamical 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 keywordsControl of the Transmission of Chikungunya Fever Epidemic Through the use of AdulticideS. Naowarat, Walaipun Tawara, I. Ming TangProblem statement: Another newly emerging disease, chikungunya fever, has appeared in various places such as the Island of Réunion, Thailand and other India. To control an epidemic of disease once it has been established, the use of adulticide is proposed. Approach: To simulate the effects of different control measurement, a mathematical model incorporating the specific features of this disease has … …American Journal of Applied Sciences, Vol. 8, Issue 6 · 13 Jun 2011 · 7,013 accessesView PDFCite
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 PDFCite
Research ArticleOpen accessIn the abstractGenetic Diversity of Common Wild Wheat Species in Armenia Using ISSR MarkersManvel Badalyan, Tatevik Aloyan, Varya Dilanyan et al.Armenia is one of the primary genealogical centers of numerous crops, the wild relatives of many of which are still found in Armenia today. Population limits of three out of 4 species of wild relatives of endemic wheat in Armenia (T. araraticum Jakubz, T. urartu Tumanian ex Gandilyan, T. boeoticum Boiss.) have been reduced in recent decades as a result … …OnLine Journal of Biological Sciences, Vol. 23, Issue 3 · 15 Aug 2023 · 5,217 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Mathematical Model and Analysis for the COVID-19 InfectionJonathan Tsetimi, Marcus Ifeanyi Ossaiugbo, Augustine AtonujeThe dreaded COVID-19 is a communicable respiratory disease caused by a new strain of coronavirus that causes illness in humans. A study of the transmission dynamics of the disease is essential in the control and elimination of the disease. In this research work, we made some assumptions and employed a deterministic SEIR model in the study of the transmission dynamics … …Journal of Mathematics and Statistics, Vol. 18, Issue 1 · 6 Jun 2022 · 6,023 accessesView PDFCite
Research ArticleOpen accessIn the abstractStochastic and Deterministic Mathematical Modeling and Simulation to Evaluate the Novel COVID-19 Pandemic Control MeasuresEva Gupta, Nand Jee Kanu, Amartya Munot et al.Background: In India, the novel Coronavirus Disease (COVID-19) epidemic has grown to 17,00000 cases and around 38,000 deaths up to 30th July, 2020. The impacts of the Severe Acute Respiratory Syndrome Coronavirus 2 (SARS-CoV-2) pandemic in India were studied using modified age-structured stochastic and deterministic mathematical models. Methods: A compartmental susceptible (S)-infected (symptomatic) (IS) infected (asymptomatic) (IN) recovered (R) i.e., … …American Journal of Infectious Diseases, Vol. 16, Issue 4 · 20 Nov 2020 · 8,456 accessesView PDFCite
Review ArticleOpen accessIn the abstractAn Insight into the Simplified RP Transmission Network, Concise Baseline and SIR Models for Simulating the Transmissibility of the Novel Coronavirus Disease 2019 (COVID-19) OutbreakEva Gupta, Nand Jee KanuThe World Health Organization has reported about a Severe Acute Respiratory Syndrome, Coronavirus 2 (SARS-CoV2) (a virus of Wuhan, China pneumonia). The present investigation explores the transmissibility of the novel Coronavirus Disease (COVID-19) using some suitable mathematical models such as (a) a simplified Bats-Hosts-Reservoir (Wuhan Seafood Market)-People (BHRP) transmission network model useful in mapping the spread of the novel COVID-19 … …American Journal of Infectious Diseases, Vol. 16, Issue 2 · 1 Jul 2020 · 7,586 accessesView PDFCite
EditorialOpen accessIn the abstractThe Timeless Contribution of Rootstocks towards Successful Horticultural Farming: From Ancient Times to the Climate Change EraIoannis E. PapadakisGrafting is a horticultural practice by which living vegetative plant organs (root, stem and/or buds) of either the same genotype or, usually, different genotypes belonging to the same species, genus, subfamily and/or family, are tightly connected to each other to form a double-compound plant. In fact, it is a method of asexual (clonal-vegetative) propagation of plants. The basal part of … …American Journal of Agricultural and Biological Sciences, Vol. 11, Issue 4 · 16 Dec 2016 · 9,521 accessesView PDFCite
Research ArticleOpen accessIn the abstractSIR 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