Estimated Numerical Results and Simulation of the Plant Disease Model Incorporating Wind Strength and Insect Vector at Equilibrium

Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 25, Issue 2

Abstract

Numerical simulations facilitate in the study of the behaviour of systems whose mathematical models are too complex to obtain analytical solutions. In this paper, we used assumed values of the model parameters and variable to simulate a non-linear deterministic model for plant vector borne diseases developed by Murwayi in [1]. Available models incorperate one climate change parameters at a time but our model includes the three temperature, precipitate and wind at ago. The non linear deterministic model included the climate change parameters with temperature and precipitation that influence the biting rate as while wind as an agent of movement of the insect vector, emmigration and immigration is incorperatedin the model as (±). We obtained the basic reproductive number R_0 and carried out the normalized sensitivity analysis to obtain the positive and negative numerical sensitivity indices to determine the parameters that have the greatest and lowest impact on the basic reproductive number R_0 of the model. We used Matlab ODE 45 in built solver to simulate the dynamics of the model.

Authors and Affiliations

A. L. M. Murwayi, T. Onyango, B. Owour

Keywords

Related Articles

The Posterior Distributions, the Marginal Distributions and the Normal Bayes Estimators of Three Hierarchical Normal Models

We calculate the posterior distributions, the marginal distributions and the normal Bayes estimators of three hierarchical normal models in the same manner. The three models are displayed in increasing complexity. We nd...

Some Commutativity Theorems in Prime Rings with Involution and Derivations

Let R be a ring with involution ′∗′ . An additive map x 7→ x ∗ of R into itself is called an involution if (i) (xy) ∗ = y ∗ x ∗ and (ii) (x∗)∗ = x holds for all x; y ∈ R. An additive mapping δ : R → R is called a derivat...

Iris Texture Analysis for Ethnicity Classification Using Self-Organizing Feature Maps

Ethnicity Classification from iris texture is a notable research in the field of pattern recognition that differentiates groups of people as distinct community by certain characteristics and attributes. Several ethnicity...

Small Random Perturbations for Dynamical Systems with Reflecting Boundary in Besov-Orlicz Space

This paper is devoted to prove Freidlin & Wentzell estimations for diffusion processes with reflecting boundary using a modification of Azencott’s method in Besov-Orlicz space defined by the Young function M2(x) = exp(x2...

Support Theorem for Random Evolution Equations in Hlderian Norm

In this paper, we purpose to prove the support theorem of the random evolution equation dX(t) = σ(X(t),Z(t))dWt + b(X(t), Y (t))dt (E) where X = {X(t), t ∈ [0; 1]} is the solution of (E) considered as which a random-vari...

Download PDF file
  • EP ID EP322495
  • DOI 10.9734/JAMCS/2017/36817
  • Views 87
  • Downloads 0

How To Cite

A. L. M. Murwayi, T. Onyango, B. Owour (2017). Estimated Numerical Results and Simulation of the Plant Disease Model Incorporating Wind Strength and Insect Vector at Equilibrium. Journal of Advances in Mathematics and Computer Science, 25(2), 1-17. https://www.europub.co.uk/articles/-A-322495