TRANSIENT DYNAMIC ANALYSIS OF A MATHEMATICAL MODEL FOR WEED POPULATION DENSITY

Authors

Keywords:

Transient population, density-dependence, matrix calculus, staged-structured

Abstract

The transient population dynamics is the short-term behaviour of the population structure or the response of a model to changes in its parameters. This paper investigates transient sensitivity analysis of a density dependent mathematical model of a weed species for the purpose of short- term weed control plans as an alternative to sensitivity analyses of the steady-state equilibrium that rely on long-terms dynamics of the weed population. The analysis’ result shows that the transient population growth is more sensitive to seedling survival (e) than germination rate ( ). Hence, weed population control could be targeted at seed germination and seedling stages of the weed growth for effective control plan

Dimensions

Alsharawi, Z. & Rhouma, M. B. H. (2010). The Discrete Beverton-Holt Model with Periodic Harvesting in a Periodically Fluctuating Environment. Advances in Difference Equation, Article ID 215875.

Burch, N., Eneya, L., Kramer, S., Tracht, S., and Gaoue, O. (2011). Transient Sensitivity Analysis in Biological and Ecological Models. www.masam.auburn.edu/comman_file download.

Caswell, H. (2007). Sensitivity Analysis of Transient Population Dynamics. Ecology Letters, 10, 1-15.

Caswell, H. (2008). Perturbation Analysis of Nonlinear Matrix Population Models. Demographic Research. 18(3). pp 59 – 116. DOI.10.4054/DemRes.18.3.

Dong He, Wang, Q. G., Franklin, S. B. & Jiang, M. X. (2013). Transient and Asymptotic Demographics of the Rigarian Species Euptelea Pleiospermum in the Shennongjia Area, Central China. Biological Conservation, Sciverse Science Direct. 161. 193-202 www.elsevier.com/locate/biocon.

Fox, G. A., and J. Gurevitch. (2000). Population numbers count: tools for near-term demographic analysis. American Naturalist 56:242–256.

Nasir, M. O., Dahiru Usman J. and Olatubosun, I. O. (2015): Parameter Sensitivity and Elasticity Analysis of a Mathematical Model for Non-Homogenous Population Density of a Weed Species. International Journal of Mathematics and Statistics Studies, Vol3, No.5, pp.1-10. www.eajournals.org.

Omony, J. (2014). Modelling and Parameter Sensitivity Analysis of Population Dynamics in Uganda. British Journal of Mathematics & Computer Science. 4(1), 153-161 www.sciencedomain.org.

Tenhumberg, B., Kottas, K., Briggs, J., Dabs, K., Daniel, R., Townley, S. and Rebarber, R. (2010). Transient Dynamics Influences Plant establishment following a dispersal event: A case study with Penstemon haydenii. Retrieved from www.math.uni.edu/~rrbarber//penstemon.pdf.

Published

30-03-2023

How to Cite

TRANSIENT DYNAMIC ANALYSIS OF A MATHEMATICAL MODEL FOR WEED POPULATION DENSITY . (2023). FUDMA JOURNAL OF SCIENCES, 3(1), 65-71. https://fjs.fudutsinma.edu.ng/index.php/fjs/article/view/1428

Issue

Vol. 3 No. 1 (2019): FUDMA Journal of Sciences - Vol. 3 No. 1

Section

Research Articles
Copyright & Licensing

How to Cite

TRANSIENT DYNAMIC ANALYSIS OF A MATHEMATICAL MODEL FOR WEED POPULATION DENSITY . (2023). FUDMA JOURNAL OF SCIENCES, 3(1), 65-71. https://fjs.fudutsinma.edu.ng/index.php/fjs/article/view/1428

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