Mathematical Modelling of an Advection-driven Interspecific Competition

Authors

Joel N. Ndam, Department of Mathematics, University of Jos, P.M.B 2084, Jos, NigeriaFollow
Christian O. Akaluzia, Department of Mathematics, University of Jos, P.M.B 2084, Jos, NigeriaFollow
Hilal Al Bayatti, Department of Computer Science, Applied Science University, East Al-Ekir, BahrainFollow

Author Country (or Countries)

Nigeria

Abstract

An advection-driven interspecific competition model is constructed, which we believe is more physically realistic as the movements of competing species are usually aimed at a target. Standard analysis using the travelling wave approach was employed, and the results show that the equilibrium points are independent of the advection velocities and the wave speed. However, the stability of each steady state depends on the wave speed and the advection velocities of the competing species. Conditions for the extinction and coexistence of the species were also obtained and illustrated using numerical simulations. The implication for ecological resource management is also highlighted.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/150507

Recommended Citation

N. Ndam, Joel; O. Akaluzia, Christian; and Al Bayatti, Hilal (2021) "Mathematical Modelling of an Advection-driven Interspecific Competition," Applied Mathematics & Information Sciences: Vol. 15: Iss. 5, Article 7.
DOI: http://dx.doi.org/10.18576/amis/150507
Available at: https://digitalcommons.aaru.edu.jo/amis/vol15/iss5/7