{ "id": "2103.16263", "version": "v1", "published": "2021-03-30T11:29:40.000Z", "updated": "2021-03-30T11:29:40.000Z", "title": "Predator-prey ecosystem with group defence in prey against generalist predator", "authors": [ "S. Maitra", "R. R. Patra", "S. Kundu" ], "categories": [ "math.DS" ], "abstract": "In this paper, we proposed a population model depicting the dynamics of a prey showing group defence against a generalist predator. The group defence characteristic is represented by Hassell-Varley functional response. We studied the local and global stability and behaviour of the model around the co-existent equilibrium solution. Analysis on Hopf bifurcation and power spectra has also been done. Numerical simulations have been done to confirm the obtained analytical results as well as to validate the proposed model.", "revisions": [ { "version": "v1", "updated": "2021-03-30T11:29:40.000Z" } ], "analyses": { "keywords": [ "generalist predator", "predator-prey ecosystem", "prey showing group defence", "group defence characteristic", "hassell-varley functional response" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }