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27 articles for “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 accessEvery word in the titleInvestigation of Factors Influencing the Reproduction of Non-Gregarious Locust Pests in Northern Kazakhstan to Substantiate the Forecast of their Number and Planning of Protective MeasuresKurmet Baibussenov, Aigul Bekbaeva, Valery Azhbenov et al.The article presents the results of many years of research on the phytosanitary state of agricultural land for non-gregarious locust pests. As polyphagous pests, non-gregarious locusts are one of the key destabilizing factors in the production of economically important agricultural plants in the agricultural regions of Northern Kazakhstan. Research on the long-term population dynamics of non-gregarious locust pests to determine … …OnLine Journal of Biological Sciences, Vol. 21, Issue 1 · 17 Mar 2021 · 6,720 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 keywordsModeling 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 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 keywordsAPPROXIMATION OF ESTIMATES IN THE SUSCEPTIBLE-INFECTIOUS-REMOVED EPIDEMIC MODELChanghyuck OhIn this note, a simple approximation for the maximum likelihood estimates of infection and removal parameters used in the Susceptible-Infectious-Removed (SIR) epidemic model is presented. This approximation can be applied when the numbers of susceptible and infected individuals are observable only at discrete points in time. Since, in such cases, a closed form of the likelihood function is generally too … …Journal of Mathematics and Statistics, Vol. 9, Issue 1 · 21 Mar 2013 · 6,760 accessesView PDFCite
Research ArticleOpen accessIn the abstractBibliometric Global Research Trends on Snail FarmingEmrobowansan Monday Idamokoro, Augustine Suh NibaSnail farming (Heliciculture) has been recognized as a vital agricultural sector in many parts of the world because of its role in the production of animal protein. However, less research has been carried out on the holistic picture of the global research status on snail studies. We aimed to make a bibliometric evaluation based on a total of 212 research … …American Journal of Animal and Veterinary Sciences, Vol. 20, Issue 1 · 19 Feb 2025 · 6,272 accessesView PDFCite
Research ArticleOpen accessIn the abstractEidonomy of Apis mellifera Workers and Drones in ApiariesAnuarbek Temirbekovich Bissembayev, Natalia Evgenievna Zemskova, Vener Nurullovich Sattarov et al.In modern ecosystems, the increasing anthropogenic load, the absence or an insufficient number of scientifically based integrated programs and measures for the reproduction and distribution of local bee populations, as well as the preservation of their habitat territories; unsystematic hybridization leads to the transformation of the quantitative and qualitative composition of bees in the regions. In connection with the presented … …OnLine Journal of Biological Sciences, Vol. 23, Issue 2 · 16 Mar 2023 · 5,110 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