A novel model for the lassa hemorrhagic fever: deathly disease for pregnant women

被引:73
作者
Atangana, Abdon [1 ]
机构
[1] Univ Free State, Inst Groundwater Studies, Fac Nat & Agr Sci, ZA-9300 Bloemfontein, South Africa
关键词
Model of Lassa fever for pregnant women; Beta-derivative; Atangana transform; Stability and uniqueness; Numerical simulations; LAPLACE;
D O I
10.1007/s00521-015-1860-9
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
Adjacent to the terminal transmissible sickness recognized as Ebola hemorrhagic fever, there is another one called Lassa hemorrhagic fever. This disease kills more pregnant women as Ebola does. A novel analysis of the construction of mathematical formulas underpinning the spread of this sickness amount in pregnant women was presented in this paper. A clear justification of the derivative used in this construction is presented. A novel operator called Atangana transform was proposed and used. The derivation of the numerical solution was achieved via the scope of an iteration method. The efficiency of the used method was tested by presenting its stability and convergence. Numerical simulations are also presented.
引用
收藏
页码:1895 / 1903
页数:9
相关论文
共 15 条
  • [1] Atangana A., 2014, MATH PROBL ENG, V2014, DOI [DOI 10.1155/2014/107535, 10.1155/2014/107535.1]
  • [2] Model of Break-Bone Fever via Beta-Derivatives
    Atangana, Abdon
    Noutchie, Suares Clovis Oukouomi
    [J]. BIOMED RESEARCH INTERNATIONAL, 2014, 2014
  • [3] On the Mathematical Analysis of Ebola Hemorrhagic Fever: Deathly Infection Disease in West African Countries
    Atangana, Abdon
    Goufo, Emile Franc Doungmo
    [J]. BIOMED RESEARCH INTERNATIONAL, 2014, 2014
  • [4] A CASE OF LASSA FEVER - CLINICAL AND VIROLOGICAL FINDINGS
    EMOND, RTD
    BANNISTER, B
    LLOYD, G
    SOUTHEE, TJ
    BOWEN, ETW
    [J]. BRITISH MEDICAL JOURNAL, 1982, 285 (6347) : 1001 - 1002
  • [5] LASSA FEVER, A NEW VIRUS DISEASE OF MAN FROM WEST AFRICA .1. CLINICAL DESCRIPTION AND PATHOLOGICAL FINDINGS
    FRAME, JD
    BALDWIN, JM
    GOCKE, DJ
    TROUP, JM
    [J]. AMERICAN JOURNAL OF TROPICAL MEDICINE AND HYGIENE, 1970, 19 (04) : 670 - &
  • [6] Heesterbeek J.A.P., 1996, STAT NEERL, V50, P89, DOI [10.1111/j.1467-9574.1996.tb01482.x, DOI 10.1111/J.1467-9574.1996.TB01482.X,ARXIV:HTTPS://ONLINELIBRARY.WILEY.COM/DOI/PDF/10.1111/J, DOI 10.1111/J.1467-9574.1996.TB01482.X]
  • [7] Application of new optimal homotopy perturbation and Adomian decomposition methods to the MHD non-Newtonian fluid flow over a stretching sheet
    Khan, Yasir
    Latifizadeh, Habibolla
    [J]. INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2014, 24 (01) : 124 - 136
  • [8] Kilbas A. A., 2006, THEORY APPL FRACTION, V204, DOI DOI 10.1016/S0304-0208(06)80001-0
  • [9] On the applications of Laplace and Sumudu transforms
    Kilicman, A.
    Gadain, H. E.
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2010, 347 (05): : 848 - 862
  • [10] On the coupling of the homotopy perturbation method and Laplace transformation
    Madani, Mohammad
    Fathizadeh, Mahdi
    Khan, Yasir
    Yildirim, Ahmet
    [J]. MATHEMATICAL AND COMPUTER MODELLING, 2011, 53 (9-10) : 1937 - 1945