<?xml version="1.0" encoding="UTF-8"?> <article key="pdf/10000197" mdate="2015-01-20 00:00:00"> <author>Anuj K. Sharma and Amit Sharma and Kulbhushan Agnihotri</author> <title>Dynamical Analysis of a Harvesting Model of PhytoplanktonZooplankton Interaction</title> <pages>1013 - 1018</pages> <year>2014</year> <volume>8</volume> <number>6</number> <journal>International Journal of Mathematical and Computational Sciences</journal> <ee>https://publications.waset.org/pdf/10000197</ee> <url>https://publications.waset.org/vol/90</url> <publisher>World Academy of Science, Engineering and Technology</publisher> <abstract>In this work, we propose and analyze a model of PhytoplanktonZooplankton interaction with harvesting considering that some species are exploited commercially for food. Criteria for local stability, instability and global stability are derived and some threshold harvesting levels are explored to maintain the population at an appropriate equilibrium level even if the species are exploited continuously.Further,biological and bionomic equilibria of the system are obtained and an optimal harvesting policy is also analysed using the Pantryagin&amp;amp;rsquo;s Maximum Principle.Finally analytical findings are also supported by some numerical simulations. </abstract> <index>Open Science Index 90, 2014</index> </article>