Quick Menu

Upcoming Journals

British Journal of Mathematics & Computer Science

British Journal of Mathematics & Computer Science, ISSN: 2231-0851,Vol.: 22, Issue.: 5

 

Original-research-article

 

Mathematical Analysis of Plant Disease Dispersion Model that Incorporates wind Strength and Insect Vector at Equilibrium

 

 

A. L. M. Murwayi1*, T. Onyango2 and B. Owour3

1Department of Mathematics, Catholic University of Eastern Africa, P.O.Box 62157-00200, Nairobi, Kenya.

2Department of Industrial Mathematics, Technical University of Kenya, P.O.Box 52428-00200, Nairobi, Kenya.

3Department of Natural Sciences, Catholic University of East Africa, P.O.Box 62157-00200, Nairobi, Kenya.

 

Abstracts

 

Numerous plant diseases caused by pathogens like bacteria, viruses, fungi protozoa and pathogenic nematodes are propagated through media such as water, wind and other intermediary carries called vectors, and are therefore referred to as vector borne plant diseases.

Insect vector borne plant diseases are currently a major concern due to abundance of insects in the tropics which impacts negatively on food security, human health and world economies. Elimination or control of which can be achieved through understanding the process of propagation via Mathematical modeling.  However existing models are linear and rarely incorporates climate change parameters to improve on their accuracy.  Yields of plants can reduce significantly if they are infected by vectors borne diseases whose vectors have very short life span without necessarily inducing death to plants. Despite this, there is no reliable developed mathematical model to describe such dynamics.

This paper formulates and analyzes a dynamical nonlinear plant vector borne dispersion disease model that incorporates insect and plant population at equilibrium and wind as a parameter of climate change, to determine R0 , local and global stability in addition to sensitivity analysis of the basic reproduction number R0.

 

Keywords :

Basic reproduction number; sensitivity analysis; disease free equilibrium point (DFEP); endemic equilibrium point (EEP); local and global stability.

 

Full Article - PDF    Page 1-17    Article Metrics

 

DOI : 10.9734/BJMCS/2017/33991

Review History    Comments

Search this site

Advanced Search

Announcement & News

ISI Thomson Reuters selected British Journal of Pharmaceutical Research for Emerging Sources Citation Index

We are delighted to inform that ISI Thomson Reuters selected British Journal of Pharmaceutical Resea...

SCOPUS selected Annual Research & Review in Biology (ARRB)

We are delighted to inform that famous indexing organization SCOPUS (from Elsevier) selected  A...

Index Copernicus Evaluation Result Released

We are delighted to inform that Index Copernicus (a leading indexing organization from Pol...

Journal Repository (JR): Permanent Digital Archiving of SDI journals

SDI is happy to announce that all our journals are now permanently archived in Journal Repository (J...

Index Copernicus Value of British Journal of Medicine and Medical Research

  We are delighted to inform that Index Copernicus (a leading indexing organization ...

SDI journal got 35th ranking in Publons

We are delighted to announce (as of 04/01/2016) that British Journal of Medicine and Medical Re...

Growth of SDI and world publication market

As of 2014, total 25,064 journals are competing in World market of journal publication. In 2011, tot...

Publication and site statistics (up to Sept, 2015)

  Number of submission: 22181 (Total up to Sept, 2015) Number of published paper: 10949&n...

Index Medicus selected 15 SDI journals

We are delighted to inform that Index Medicus (IMSEAR) has selected following 15 SDI journals for in...

SCIENCEDOMAIN international received 5844 submissions in 2013

SCIENCEDOMAIN international is pleased to announce that it has received 5844 submissions in 2013, ac...



SCIENCEDOMAIN Awards

  • No Awards listed.

Browser Compatibility : Mozila firefox, Google Crome and IE 7 & above. Creative Commons License Terms & Condition   |   Privacy Policy   |   Join Us   |   Help   |   Contact Us
© Copyright 2010-2017, SCIENCEDOMAIN international. All rights reserved.