Discrete-time host-parasitoid models with pest control

Sophia R.J. Jang, Jui Ling Yu

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

We propose a simple discrete-time host-parasitoid model to investigate the impact of external input of parasitoids upon the host-parasitoid interactions. It is proved that the input of the external parasitoids can eventually eliminate the host population if it is above a threshold and it also decreases the host population level in the unique interior equilibrium. It can simplify the host-parasitoid dynamics when the host population practices contest competition. We then consider a corresponding optimal control problem over a finite time period. We also derive an optimal control model using a chemical as a control for the hosts. Applying the forward-backward sweep method, we solve the optimal control problems numerically and compare the optimal host populations with the host populations when no control is applied. Our study concludes that applying a chemical to eliminate the hosts directly may be a more effective control strategy than using the parasitoids to indirectly suppress the hosts.

Original languageEnglish
Pages (from-to)718-739
Number of pages22
JournalJournal of Biological Dynamics
Volume6
Issue number2
DOIs
StatePublished - Mar 2012

Keywords

  • 39A30
  • 92D25

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