Non-selective harvesting in prey–predator models with delay |
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| Institution: | 1. Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah 711103, India;2. Barisha High School, Barisha, Kolkata 700008, India;1. Department of Mathematics, Bethune College, 181, Bidhan Sarani, Kolkata-700006, West Bengal, India;2. Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Botanic Garden, Howrah-711103, West Bengal, India;3. Center for Ecological Research, Kyoto University, Hirano 2-509-3, Otsu 520-2113, Japan;4. Department of Mathematics, National Institute of Technology Meghalaya, Bijni Complex, Shillong-793003, Meghalaya, India;1. Department of Mathematics and Statistics, I.I.T. Kanpur, Kanpur 208016, India;2. Department of Mathematics, Andhra University, Visakhapatnam 530003, India;1. Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur 208016, India;2. College of Science and Engineering, Aoyama Gakuin University, Kanagawa, Japan |
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| Abstract: | In this paper we are interested in studying the combined effects of harvesting and time delay on the dynamics of the generalized Gause type predator–prey models. It is shown that in these models the time delay may cause a stable equilibrium to become unstable and even a switching of stabilities, on the other hand harvesting effort has a stabilizing effect on the equilibrium if it is under the critical harvesting effort level. Simulations are carried out to explain some of the mathematical conclusions. |
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