Stability Analysis of Competing Insect Species for a Single Resource
Joint Authors
Massawe, Estomih S.
Le Ru, Bruno Pierre
Tonnang, Henri E. Z.
Johansson, Tino
Mwalusepo, Sizah
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-06
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
The models explore the effects of resource and temperature on competition between insect species.
A system of differential equations is proposed and analysed qualitatively using stability theory.
A local study of the models is performed around axial, planar, and interior equilibrium points to successively estimate the effect of (i) one species interacting with a resource, (ii) two competing species for a single resource, and (iii) three competing species for a single resource.
The local stability analysis of the equilibrium is discussed using Routh-Hurwitz criteria.
Numerical simulation of the models is performed to investigate the sensitivity of certain key parameters.
The models are used to predict population dynamics in the selected cases studied.
The results show that when a single species interacts with a resource, the species will be able to establish and sustain a stable population.
However, in competing situation, it is observed that the combinations of three parameters (half-saturation, growth rate, and mortality rate) determine which species wins for any given resource.
Moreover, our results indicate that each species is the superior competitor for the resource for the range of temperature for which it has the lowest equilibrium resource.
American Psychological Association (APA)
Mwalusepo, Sizah& Tonnang, Henri E. Z.& Massawe, Estomih S.& Johansson, Tino& Le Ru, Bruno Pierre. 2014. Stability Analysis of Competing Insect Species for a Single Resource. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-460366
Modern Language Association (MLA)
Mwalusepo, Sizah…[et al.]. Stability Analysis of Competing Insect Species for a Single Resource. Journal of Applied Mathematics No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-460366
American Medical Association (AMA)
Mwalusepo, Sizah& Tonnang, Henri E. Z.& Massawe, Estomih S.& Johansson, Tino& Le Ru, Bruno Pierre. Stability Analysis of Competing Insect Species for a Single Resource. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-460366
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-460366