Seasonal population dynamics of ticks, and its influence on infection transmission: A semi-discrete approach

被引:0
|
作者
Mini Ghosh
Andrea Pugliese
机构
[1] Massey University,Institute of Information and Mathematical Sciences
[2] Università di Trento,Dipartimento di Matematica
来源
Bulletin of Mathematical Biology | 2004年 / 66卷
关键词
Lyme Disease; Positive Equilibrium; Host Density; Endemic Equilibrium; Infected Larva;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, a simple semi-discrete (ticks’ feeding is assumed to occur only during the summers of each year) model for tick population dynamics is presented. Conditions for existence, uniqueness, and stability of a positive equilibrium are found; the system is then studied numerically using parameter estimates calibrated for the tick Ixodes ricinus in Trentino, Italy, and the sensitivity to parameters is examined.
引用
收藏
页码:1659 / 1684
页数:25
相关论文
共 50 条
  • [41] Cauchy matrix approach for generalized semi-discrete lattice potential Korteweg-de Vries equations
    Qiu, Siming
    Wang, Ruodong
    Yao, Yuqin
    PHYSICA SCRIPTA, 2024, 99 (09)
  • [42] A focusing and defocusing semi-discrete complex short-pulse equation and its various soliton solutions
    Feng, Bao-Feng
    Ling, Liming
    Zhu, Zuonong
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2021, 477 (2247):
  • [43] A discrete tick population dynamics model with continuous and seasonal birth breeding
    Yu, Ning
    Zhang, Xue
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2022, 15 (06)
  • [44] Transmission and population dynamics of HTLV-I infection
    SeydeL, J
    Kramer, A
    INTERNATIONAL JOURNAL OF CANCER, 1996, 66 (02) : 197 - 200
  • [45] Study of Theileria annulata population structure during bovine infection and following transmission to ticks
    Gubbels, MJ
    Katzer, F
    Shiels, BR
    Jongejan, F
    PARASITOLOGY, 2001, 123 : 553 - 561
  • [46] Carleman estimates for space semi-discrete approximations of one-dimensional stochastic parabolic equation and its applications
    Wu, Bin
    Wang, Ying
    Wang, Zewen
    INVERSE PROBLEMS, 2024, 40 (11)
  • [47] A discrete time version for models of population dynamics in the presence of an infection
    Izzo, Giuseppe
    Vecchio, Antonia
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 210 (1-2) : 210 - 221
  • [48] A General Discrete Time Model of Population Dynamics in the Presence of an Infection
    Izzo, Giuseppe
    Muroya, Yoshiaki
    Vecchio, Antonia
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2009, 2009
  • [49] Multi-component semi-discrete coupled dispersionless integrable system, its lax pair and Darboux transformation
    Riaz, H. Wajahat A.
    ul Hassan, Mahmood
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2018, 61 : 71 - 83
  • [50] Population dynamics of HTLV-I infection: A discrete-time mathematical epidemic model approach
    Eshima, N
    Tabata, M
    Okada, T
    6TH WORLD MULTICONFERENCE ON SYSTEMICS, CYBERNETICS AND INFORMATICS, VOL XVII, PROCEEDINGS: INDUSTRIAL SYSTEMS AND ENGINEERING III, 2002, : 394 - 398