On Mathematical Model of Biological Pest Control of Sorghum Production
Abstract
In this paper, mathematical model of Sorghum production from seed/planting to harvesting stage was presented with respect to its pests(prey) and the corresponding natural prey enemy (predators) at every stage. The model was characterized, the existence and uniqueness of the model solution was established. And finally numerical applications was carried out using Differential Transform method, and it was found that pests at different stages of sorghum production can be minimized below injury level using biological control which in turn leads to maximization of the sorghum production.
References
F. S. Akinboro, S. Alao and S. O. Akinpelu, Numerical solution of SIR model using DTM and VIM, Journal of General Mathematics Notes 22(2) (2014), 82-92.
K. C. Amit, S. Pabel and M. I. Anowarul, Analysis of epidemic model by differential transform method, Journal of Multidisciplinary Engineering Science and Technology (JMEST) (2017).
T. N. Chuc, S. Vijaya, J. V. Erik, C. C. Scott, R. J. David and L. H. Graeme, Genetic variability in high temperature effects on seed-set in sorghum, Functional Plant Biology 40 (2013), 439-488. https://doi.org/10.1071/FP12264
B. Debashis and P. Samares, Stability analysis of a non linear HIV/AIDS model with vaccination and antirotional therapy, International Journal of Advances in Applied Mathematics and Mechanics 5(2) (2017), 41-50.
S. A. Egbetade and M. O. Ibrahim, Modelling the Impact of BCG vaccines on tuberculosis epidemics, Journal of Mathematical Modelling and Application 9 (2014), 49-55.
J. Howard Frank and Russell F. Mizell, common name: ladybirds, lady beetles, ladybugs [of Florida]; scientific name: (Insecta: Coleoptera: Coccinellidae), UF/IFAS Featured Creatures, 2018. http://entnemdept.ufl.edu/creatures/beneficial/lady_beetles.htm
FAO, Food and Agricultural Organisation Statistic, 2012. Available at www.fao.org/faostat
FAO, Food and Agricultural commodities production, FAOSTAT, Food and Agricultural Organization of the United Nations, 2013. http://faostat.fao.org/site/339/default.aspx
P. C. Joseph, J. Dirk and S. Stefan, Modelling and analysis of integrated pest control strategies via impulsive differential equations, International Journal of Differential Equations 2017 (2017), Article ID 1820607, 18 pages. https://doi.org/10.1155/2017/1820607
Ric Bessin, Ladybugs, UK Cooperative Extension Services, University of Kentucky-College of Agriculture, 2018. https://entomology.ca.uky.edu/ef105
D. B. Robert, J. B. Michael, L. K. David, G. John, S. Nick, E. Norman, G. B. David, M. O. Way, T. A. Royer, B. Stephen and M. Enn, Sugarcane aphid (Hemiptera: Aphididae): A new pest on sorghum North America, Journal of Integrated Pest Management 7(1) (2016), 1-13. https://doi.org/10.1093/jipm/pmw011
M. Sisterson and D. Stenger, Roguing with replacement in perennial crops: modelling conditions for successful disease management, Phytophathology 103 (2013), 117-128. https://doi.org/10.1094/PHYTO-05-12-0101-R
F. Soltani, H. Khemira, S. Atifi and Q. Ghazwani, Mathematical characterization of growth of a local landrace of sorghum from Saudi Arabia, Int. J. Pure App. BioSci. 6(1) (2018), 52-55. https://doi.org/10.18782/2320-7051.6075
USDA, Nigeria grain and feed annual, Annual report 2014, United States Department of Agriculture, GAIN Report, 2014.
USDA, Nigeria grain and feed annual, Annual report 2017, United States Department of Agriculture, GAIN Report, 2017.
S. B. Vahid, Stability analysis of positive systems with applications to epidemiological model, A dissertation for the degree of Doctor of Philosophy, National University of Ireland, Maynooth, 2012.
P. V. Vara and A. S. Scott, Soils, plant growth and crop production: growth and production of sorghum and millet, Encyclopedia of Life Support System (EOLSS) 2 (2010), 1-27.
This work is licensed under a Creative Commons Attribution 4.0 International License.