Mathematical Analysis of Plant Disease Dispersion Model that Incorporates wind Strength and Insect Vector at Equilibrium
A. L. M. Murwayi, T. Onyango, B. Owour
Journal of Advances in Mathematics and Computer Science · pp. 1–17 · Published 9 Jun 2017
10.9734/BJMCS/2017/33991Abstract
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.
Cited by 22
Emmanuel Hakizimana, R. G. Glèlè Kakaï · International Journal of Dynamics and Control · 2026
Ali Raza, M. Lampart, Nimra Khalid · Alexandria Engineering Journal · 2026
R. Amelia, N. Anggriani · Scientific Reports · 2025
M. Farman, Izhar Ullah, E. Hıncal · Comput. Biol. Chem. · 2025
R. Amelia, N. Anggriani, A. Supriatna · Mathematics · 2024
Dian Grace Ludji, Roberta Uron Hurit, Siprianus Septian Manek · Jambura Journal of Biomathematics (JJBM) · 2024
Fatu Chilinga, Alfred K. Hugo · Journal of Mathematical and Fundamental Sciences · 2023
Asif Jan, S. Boulaaras, F. Abdullah · The European Physical Journal Special Topics · 2023
H. Ali, Ismail Gad Ameen · Journal of Computational and Applied Mathematics · 2023
Ayse Nur Akkilic, Z. Sabir, M. A. Z. Raja · Computer Methods in Biomechanics and Biomedical Engineering · 2022
Related research
- Optimum Allocation of Water and Land Resource for Maximizing Farm Income of Jabalpur District, Madhya Pradesh — shares topic coverage
- Assessment of Projected Climate Change Impact on Green Gram Productivity through DSSAT Model under South Gujarat Environmental Condition — shares topic coverage
- Deterministic Mathematical Model for Dynamics of Water Borne Diseases — shares topic coverage
- The Cycled Shortest Path Problem: A New Perspective, And Sensitivity Analysis — shares topic coverage
- Simulation Studies on Recovery of Acetonitrile from Aqueous Acetonitrile Waste from Pharmaceutical Processes — shares topic coverage
Article metrics
Real usage data collected on this platform.
0
Page views
0
PDF downloads
0
Outbound clicks
22
Citations
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
No views recorded yet.
Traffic sources
Referring site, by host.
No traffic recorded yet.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.