Analysis and simulations with a multi-scale model of canine visceral leishmaniasis

被引:1
|
作者
Welker, Jonathan Shane [1 ]
Martcheva, Maia [1 ]
机构
[1] Univ Florida, Dept Math, Gainesville, FL 32611 USA
关键词
Leishmaniasis in dogs; backward bifurcation; immuno-epidemiological model; stability; fixed-point methods; controls; simulations; DYNAMICS; STATE; AGE;
D O I
10.1051/mmnp/2020026
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
Visceral leishmaniasis in dogs is believed to have an impact on the prevalence of the disease in human populations. Here, we continue the analysis of the nested immuno-epidemiological model of visceral leishmaniasis in dogs, including a proof of well-posedness using functional analytical methods. Once well-posedness is established, we continue stability analysis of the endemic equilibria and provide necessary and sufficient conditions for the presence of backward bifurcation, and prove the instability of the lower endemic equilibrium in the presence of backward bifurcation. Lastly, we provide a number of simulations of the model using a number of control strategies. Control measures currently in use attempt to reduce the parasite load in the host, reduce the vector population, reduce the vector biting rate, and remove infected hosts. We examine various combinations of these strategies and conclude that a strategy combining culling infected dogs and removing vectors from the population by means such as insecticide will be the most effective.
引用
收藏
页数:39
相关论文
共 50 条
  • [1] AN EXPERIMENTAL-MODEL FOR CANINE VISCERAL LEISHMANIASIS
    ABRANCHES, P
    SANTOSGOMES, G
    RACHAMIM, N
    CAMPINO, L
    SCHNUR, LF
    JAFFE, CL
    [J]. PARASITE IMMUNOLOGY, 1991, 13 (05) : 537 - 550
  • [2] Multi-scale bolt connection model for thermomechanical simulations
    Xu, Qingfeng
    Hofmeyer, Hèrm
    Maljaars, Johan
    [J]. ce/papers, 2021, 4 (2-4) : 1297 - 1303
  • [3] Multi-Scale DSA Simulations For Efficient Hotspot Analysis
    Hori, Yoshihiro
    Yoshimoto, Kenji
    Taniguchi, Takashi
    Ohshima, Masahiro
    [J]. ALTERNATIVE LITHOGRAPHIC TECHNOLOGIES VI, 2014, 9049
  • [4] Multi-scale Analysis of Turbulence in CFD-Simulations
    Stoevesandt, Bernhard
    Stresing, Robert
    Shishkin, Andrei
    Wagner, Claus
    Peinke, Joachim
    [J]. PROGRESS IN TURBULENCE AND WIND ENERGY IV, 2012, 141 : 41 - 44
  • [5] VISCERAL CANINE LEISHMANIASIS IN BOLIVIA
    ANGLES, R
    LEPONT, F
    DESJEUX, P
    [J]. TRANSACTIONS OF THE ROYAL SOCIETY OF TROPICAL MEDICINE AND HYGIENE, 1982, 76 (05) : 704 - 704
  • [6] Canine visceral leishmaniasis in Sicily
    Orndorff, GR
    Cooper, BA
    Smith, W
    Ryan, JR
    [J]. MILITARY MEDICINE, 2000, 165 (01) : 29 - 32
  • [7] CANINE VISCERAL LEISHMANIASIS IN IRAN
    RAFYI, A
    NIAK, A
    NAGHSHINEH, R
    ABOUTORABIAN, H
    [J]. VETERINARY RECORD, 1968, 83 (11) : 269 - +
  • [8] A Multi-scale Friction Model for Sheet Metal Forming Simulations
    Hol, J.
    Alfaro, M. V. Cid
    Meinders, T.
    Huetink, J.
    [J]. 8TH INTERNATIONAL CONFERENCE AND WORKSHOP ON NUMERICAL SIMULATION OF 3D SHEET METAL FORMING PROCESSES (NUMISHEET 2011), PTS A AND B, 2011, 1383 : 784 - +
  • [9] Concurrent multi-scale crush simulations with a crystal plasticity model
    Najafi, A.
    Marin, E. B.
    Rais-Rohani, M.
    [J]. THIN-WALLED STRUCTURES, 2012, 53 : 176 - 187
  • [10] A multi-scale friction model framework for full scale sheet forming simulations
    Hol, J.
    Meinders, T.
    Huetink, J.
    [J]. 14TH INTERNATIONAL CONFERENCE ON MATERIAL FORMING ESAFORM, 2011 PROCEEDINGS, 2011, 1353 : 207 - 212