Modelling the Transmission Dynamics of Banana Xanthomonas Wilt Disease with Contaminated Soil

Mapinda, John Joel; Mwanga, Gasper Godson; Masanja, Verdiana Grace

doi:10.22457/jmi.146av17a11

Cited by 4 publications

(4 citation statements)

References 1 publication

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this paper, a mathematical model for the transmission dynamics of BXW by [28] is modified to include some control measures.…”

Section: Model Formulationmentioning

confidence: 99%

“…It was observed that parameters from asymptomatic infected banana plants are more sensitive to the basic reproduction number. Moreover, Mapinda et al [28] modified the model by Kweyunga et al [27] to include contaminated soil. The results showed that soil inoculum plays an important role in the persistence of the disease in the farm setting.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A mathematical Model to assess the Role of Neglected Control Techniques in the Dynamics of Banana Xanthomonas Wilt Disease

Mapinda¹,

Mwanga²,

Nyerere³

et al. 2022

IJASRE

View full text Add to dashboard Cite

Banana Xanthomonas Wilt disease (BXW) is a destructive bacterial disease that highly threatens banana production in East and Central Africa. It is caused by a bacteria known as. In this paper, a mathematical model for the dynamics and control of BXW disease is formulated and analyzed. Numerical simulations were performed to examine the impact of participatory community education programmes, clearance of Xcm bacteria in the soil, single diseased stem removal, and vertical transmission control strategies. It was found that participatory community farming education programmes, timely removal of infected banana plants, clearance of Xcm bacteria in the soil dramatically reduce the number of secondary infections hence greatly contributing to the control of the BXW disease. The study recommends that, along with the existing control measures such as sterilization of farming tools, timely removal of the male bud using a forked stick and planting healthy suckers, more emphasis should be invested in educating farmers on disease detection and management strategies and increasing the rate of clearing Xcm bacteria in the soil so as to avoid persistence of the disease in the farms.

show abstract

“…In this paper, a mathematical model for the transmission dynamics of BXW by [28] is modified to include some control measures.…”

Section: Model Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A mathematical Model to assess the Role of Neglected Control Techniques in the Dynamics of Banana Xanthomonas Wilt Disease

Mapinda¹,

Mwanga²,

Nyerere³

et al. 2022

IJASRE

View full text Add to dashboard Cite

show abstract

“…Sensitivity analysis is the process performed when we want to determine the influence of each model parameter in the effective reproduction number 0 R [25,26]. Thus, this process helps in the selection of corruption control measures in which the most sensitive parameters are seriously considered.…”

Section: The Effective Reproduction Number Sensitivity Analysis and Their Analytical Interpretationmentioning

confidence: 99%

Mathematical Modelling and Analysis of Corruption Dynamics with Control Measures in Tanzania

Danford¹,

Kimathi²,

Mirau³

2020

J. Math. Inf.

View full text Add to dashboard Cite

Corruption is a worldwide problem that affects many countries where by individuals loses their rights, lower community confidence in public authorities, absence of peace and security, misallocation of resources and termination of employment. Despite various measures which have been taken by various countries to control corruption, the problem still exists. In this paper, we formulate and analyze a mathematical model for the dynamics of corruption in the presence of control measures. Analysis of the model shows that both Corruption Free Equilibrium (CFE) and Corruption Endemic Equilibrium (CEE) exist. The next generation matrix method was used to compute the effective reproduction number (ܴ ) which is used to study the corruption dynamics. The results indicate that CFE is both locally and globally asymptotically stable when ܴ < 1 whereas CEE is globally asymptotically stable when ܴ > 1. The normalized forward sensitivity method was used to describe the most sensitive parameters for the spread of corruption. The most positive sensitive parameters are κ and ν while the most negative sensitive parameters are α and β . Therefore, the parameters of mass education α and religious teaching β are the best parameters for control of corruption. The model was simulated using Runge-Kutta fourth order method in MATLAB and the results indicate that the combination of mass education and religious teaching is effective to corruption control within short time compared to when each control strategy is used separately. Therefore, this study recommends that more efforts in providing both mass education and religious teaching should be applied at the same time to control corruption.

show abstract

“…shows that 𝐷 𝜎 𝑉 ≤ 0 if 𝑅 0 < 1 for all (𝑆 𝑝 , 𝐼 𝑝 , 𝑆 𝑣 , 𝐼 𝑣 ) ∈ ℝ +4 and 𝐷 𝜎 𝑉 = 0 if and only if 𝑆 𝑝 = 𝑆 𝑝 0 , 𝐼 𝑝 = 𝐼 𝑝 0 , 𝑆 𝑣 = 𝑆 𝑣 0 , 𝐼 𝑣 = 𝐼 𝑣 0 . Therefore, the disease free equilibrium point is globally stable if 𝑅 0 < 1.Function 𝑉 is defined as continuous and positive definite for all 𝑆 𝑝 > 0, 𝐼 𝑝 > 0, 𝑆 𝑣 > 0, 𝐼 𝑣 > 0.Next, calculate 𝑉 𝜎 (𝑆 𝑝 , 𝐼 𝑝 , 𝑆 𝑣 , 𝐼 𝑣 ) to shows 𝐷 𝜎 𝑉 ≤ 0 at the endemic equilibrium point [14].…”

mentioning

confidence: 99%

A Fractional Differential Equation Model for the Spread of Potato Leaf Roll Virus (Plrv) on Potatoes

Jasmine,

Putri,

Efendi

2023

BAREKENG: J. Math. & App.

View full text Add to dashboard Cite

Potatoes infected with the PLRV virus will experience a decrease in production up to 90%. In this paper, The PLRV distribution fractional differential equation model with potato and vector populations is reformulated by adding one new parameter, namely the rate of vector death due to predators. The model is divided into susceptible and infected classes. The PLRV dispersion model was developed and converted to a fractional order form for 0<σ ≤ 1. Next, the invariant region, positive solutions, basic reproduction number, equilibrium point, and stability were determined. Based on the stability analysis, it is shown that the stability of the disease-free equilibrium point is locally stable and globally stable if the basic reproduction number (R0)<1, and the stability of the endemic equilibrium point is globally stable if the basic reproduction number (R0)>1. Numerical solutions were also carried out to determine the effect of several parameters on the PLRV distribution model on potatoes. The numerical solution results show that the elimination rate of infected potatoes and the infection rate of potatoes have a significant role in controlling the spread of PLRV in potatoes.

show abstract

Modelling the Transmission Dynamics of Banana Xanthomonas Wilt Disease with Contaminated Soil

Cited by 4 publications

References 1 publication

A mathematical Model to assess the Role of Neglected Control Techniques in the Dynamics of Banana Xanthomonas Wilt Disease

A mathematical Model to assess the Role of Neglected Control Techniques in the Dynamics of Banana Xanthomonas Wilt Disease

Mathematical Modelling and Analysis of Corruption Dynamics with Control Measures in Tanzania

A Fractional Differential Equation Model for the Spread of Potato Leaf Roll Virus (Plrv) on Potatoes

Contact Info

Product

Resources

About