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    Wyświetlanie 1-2 z 2
    Tytuł:
    Bifurcation and Stability Analysis of the Dynamics of Gonorrhea Disease in the Population
    Autorzy:
    Adediipo, Adeola D.
    Akanni, John O.
    Shangodare, Olasunkanmi M.
    Powiązania:
    https://bibliotekanauki.pl/articles/1030149.pdf
    Data publikacji:
    2020
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Basic Reproduction Number
    Bifurcation analysis
    Gonorrhea disease
    Lyapunov function
    Sensitivity analysis
    Stability Analysis
    Opis:
    The model was governed by a system of ordinary differential equations; the population into susceptible individuals (S), Exposed individuals (E), infected individuals (I) and Recovered individuals (Q). Theory of positivity and boundedness was used to investigate the well-posedness of the model. Equilibrium solutions were investigated analytically. The basic reproduction number (R0) were calculated using the next generation operator method. Bifurcation analysis and global stability of the model were carried out using centre manifold theory and Lyapunov functions respectively. The effects of parameters such as efficacy of Condom (κ), Effective Contact Rate (β), Compliance of Condom (θ), Progression Rate (ρ) and Treatment Rate (α) on R0 were explored through sensitivity analysis. The possibility of mitigating the spread of gonorrhea in the population has been studied. It can be concluded that parameters representing efficacy of Condom, Effective Contact Rate, Compliance of Condom, Progression Rate and Treatment Rate are significant in reducing the burden of gonorrhea disease in the population.
    Źródło:
    World Scientific News; 2020, 143; 139-154
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Analyzing the MERS disease control strategy through an optimal control problem
    Autorzy:
    Aldila, D.
    Padma, H.
    Khotimah, K.
    Desjwiandra, B.
    Tasman, H.
    Powiązania:
    https://bibliotekanauki.pl/articles/329852.pdf
    Data publikacji:
    2018
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    Middle East Respiratory Syndrome
    medical mask
    supportive care
    campaign
    basic reproduction number
    optimal control
    maska medyczna
    leczenie podtrzymujące
    podstawowy współczynnik reprodukcji
    sterowanie optymalne
    Opis:
    A deterministic mathematical model of the Middle East respiratory syndrome (MERS) disease is introduced. Medical masks, supportive care treatment and a government campaign about the importance of medical masks will be involved in the model as time dependent variables. The problem is formulated as an optimal control one to minimize the number of infected people and keep the intervention costs as low as possible. Assuming that all control variables are constant, we find a disease free equilibrium point and an endemic equilibrium point explicitly. The existence and local stability criteria of these equilibria depend on the basic reproduction number. A sensitivity analysis of the basic reproduction number with respect to control parameters tells us that the intervention on medical mask use and the campaign about the importance of medical masks are much more effective for reducing the basic reproduction number than supportive care intervention. Numerical experiments for optimal control problems are presented for three different scenarios, i.e., a scenario of different initial conditions for the human population, a scenario of different initial basic reproduction numbers and a scenario of different budget limitations. Under budget limitations, it is much better to implement the medical mask intervention in the field, rather than give supportive care to control the spread of the MERS disease in the endemic prevention scenario. On the other hand, the medical mask intervention should be implemented partially together with supportive care to obtain the lowest number of infected people, with the lowest cost in the endemic reduction scenario.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2018, 28, 1; 169-184
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-2 z 2

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