A mathematical model for the dynamics and MCMC analysis of tomato bacterial wilt disease

被引：5
|
作者：
Remo, Flavia [1 ]
Luboobi, Livingstone S. [2 ]
Mabalawata, Isambi Sailon [3 ]
Nannyonga, Betty K. [2 ]
机构：
[1] Friedrich Schiller Univ Jena, Inst Math, Ernst Abbe Pl 2, D-07743 Jena, Germany
[2] Makerere Univ, Dept Math, POB 7062, Kampala, Uganda
[3] African Inst Math Sci AIMS Tanzania, POB 176, Bagamoyo, Coastal Region, Tanzania
来源：
INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2018年 / 11卷 / 01期
关键词：
TBWD; stability analysis; sensitivity analysis; MCMC; controls; METROPOLIS ALGORITHM; BAYESIAN-APPROACH; ADAPTIVE MCMC; HIV;
D O I：
10.1142/S1793524518500018
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we formulate and analyze a mathematical model to investigate the transmission dynamics of tomato bacterial wilt disease (TBWD) in Mukono district, Uganda. We derive the basic reproduction number R-0 and prove the existence of a diseasefree equilibrium point which is globally stable if R-0 < 1 and an endemic equilibrium which exists if R-0 > 1. Model parameters are estimated using the Markov Chain Monte Carlo (MCMC) methods and robustness tested. The model parameters were observed to be identifiable. Numerical simulations show that soil solarization and sensitization of farmers can help to eliminate the disease in Uganda. A modified tomato bacterial wilt model with control terms is formulated.
引用
收藏
页数：22
相关论文
共 50 条
  • [41] BACTERIAL WILT RESISTANCE IN EXOTIC TOMATO GERMPLASM
    CHUMVISOOT, C
    LAMBETH, V
    HORTSCIENCE, 1983, 18 (04) : 564 - 565
  • [42] Bacillus strains in the control of bacterial wilt in tomato
    Thomas, A.
    Jarvis, J.
    Saravanakumar, D.
    PHYTOPATHOLOGY, 2018, 108 (10) : 143 - 143
  • [43] Mi introgression lines as tools for the genetic analysis of bacterial wilt resistance in tomato
    Deberdt, P
    Prior, P
    BACTERIAL WILT DISEASE: MOLECULAR AND ECOLOGICAL ASPECTS, 1998, : 255 - 262
  • [44] Diallel analysis of bacterial wilt resistance in tomato derived from different sources
    Hanson, PM
    Licardo, O
    Hanudin
    Wang, JF
    Chen, JT
    PLANT DISEASE, 1998, 82 (01) : 74 - 78
  • [45] GRAFTING TOMATO CULTIVARS RESISTANT OR SUSCEPTIBLE TO BACTERIAL WILT - ANALYSIS OF RESISTANCE MECHANISMS
    GRIMAULT, V
    PRIOR, P
    JOURNAL OF PHYTOPATHOLOGY, 1994, 141 (03) : 330 - 334
  • [46] Disruption of Firmicutes and Actinobacteria abundance in tomato rhizosphere causes the incidence of bacterial wilt disease
    Lee, Sang-Moo
    Kong, Hyun Gi
    Song, Geun Cheol
    Ryu, Choong-Min
    ISME JOURNAL, 2021, 15 (01): : 330 - 347
  • [47] Disruption of Firmicutes and Actinobacteria abundance in tomato rhizosphere causes the incidence of bacterial wilt disease
    Sang-Moo Lee
    Hyun Gi Kong
    Geun Cheol Song
    Choong-Min Ryu
    The ISME Journal, 2021, 15 : 330 - 347
  • [48] Magnesium oxide nanoparticles induce systemic resistance in tomato against bacterial wilt disease
    Imada, K.
    Sakai, S.
    Kajihara, H.
    Tanaka, S.
    Ito, S.
    PLANT PATHOLOGY, 2016, 65 (04) : 551 - 560
  • [49] Biological Control of Tomato Bacterial Wilt Disease by Endophytic Pseudomonas fluorescens and Bacillus subtilis
    Farahat, M. G.
    Tahany
    Rahman, M. Abdel
    Zaghlol, Gihan M.
    Hussein, R. A.
    EGYPTIAN JOURNAL OF BOTANY, 2016, 56 (02): : 543 - 558
  • [50] Mathematical Modeling and Stability Analysis of the Delayed Pine Wilt Disease Model Related to Prevention and Control
    Dong, Ruilin
    Sui, Haokun
    Ding, Yuting
    MATHEMATICS, 2023, 11 (17)
12345