Discrete-time host-parasitoid models with pest control



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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. © 2012 Copyright Taylor and Francis Group, LLC.




39A30, 92D25


Jang, S.R.-J., & Yu, J.-L.. 2012. Discrete-time host-parasitoid models with pest control. Journal of Biological Dynamics, 6(2). https://doi.org/10.1080/17513758.2012.700074