Modelling and analysis of a prey–predator system with stage-structure and harvesting |
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| Affiliation: | 1. Department of Mathematics, National Institute of Technology Meghalaya, Bijni Complex, Shillong, Meghalaya 793003, India;2. Department of Mathematics, Indian Institute of Engineering Science and Technology Shibpur, Botanic Garden, Howrah, West Bengal 711103, India;3. Division of Marine and Environmental Research, R. Bošković Institute, POB 180, Zagreb HR-1002, Croatia;1. School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, Shaanxi, China;2. School of Mathematics and Computer Science, Xinyu University, Xinyu 338004, Jiangxi, China;1. School of Mathematical Sciences, Tianjin Polytechnic University, Tianjin 300387, China;2. Department of Information Science and Technology, Tianjin University of Finance and Economics, Tianjin 300222, China |
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| Abstract: | In this paper, we have considered a prey–predator-type fishery model with Beddington–DeAngelis functional response and selective harvesting of predator species. We have established that when the time delay is zero, the interior equilibrium is globally asymptotically stable provided it is locally asymptotically stable. It is also shown that the time delay can cause a stable equilibrium to become unstable and even a switching of stabilities. Lastly, some numerical simulations are carried out. |
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