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Acta Biotheoretica

, Volume 66, Issue 4, pp 379–397 | Cite as

Study of the Population Dynamics of Busseola fusca, Maize Pest

  • Janvier Pesser Ntahomvukiye
  • Anatole Temgoua
  • Samuel Bowong
Regular Article
  • 42 Downloads

Abstract

Busseola fusca is a maize and sorghum pest that can cause significant damage to both crops. Given that maize is one of the main cereals grown in the worldwide, this pest is a major challenge for maize production and therefore for the economies of several countries . In this paper , based on the life cycle of B. fusca, we propose a mathematical model to study the population dynamics of this insect pest . A sensitivity analysis using the eFast method was performed to show the most important parameters of the model. We present the theoretical analysis of the model. More precisely, we derive a threshold parameter \({\mathcal {N}}_0\), called basic offspring number and show that the trivial equilibrium is globally asymptotically stable whenever \({\mathcal {N}}_0\le 1\), while if \({\mathcal {N}}_0>1\), the non trivial equilibrium is globally asymptotically stable. The theoretical results are supported by numerical simulations.

Keywords

Maize Pest insect Busseola fusca Mathematical models Basic offspring number Stability 

Notes

Acknowledgements

The authors are grateful to the anonymous reviewers, and the Handling Editor, for their suggestions that have greatly improved the paper.

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Copyright information

© Springer Science+Business Media B.V., part of Springer Nature 2018

Authors and Affiliations

  • Janvier Pesser Ntahomvukiye
    • 1
    • 2
    • 3
    • 4
  • Anatole Temgoua
    • 2
    • 4
  • Samuel Bowong
    • 2
    • 3
    • 4
  1. 1.Department of Mathematics, Faculty of ScienceUniversity of BurundiBujumburaBurundi
  2. 2.Laboratory of Mathematics, Department of Mathematics and Computer Science, Faculty of ScienceUniversity of DoualaDoualaCameroon
  3. 3.UMI 209 IRD & UPMC UMMISCOBondyFrance
  4. 4.Project team EPITAG-LIRIMA, The African Center of Excellence in Information and Communication Technologies (CETIC)University of Yaounde 1YaoundéCameroon

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