{"id":1566,"date":"2025-09-16T14:14:49","date_gmt":"2025-09-16T07:14:49","guid":{"rendered":"https:\/\/www.its.ac.id\/publikasi\/?p=1566"},"modified":"2025-09-16T14:14:49","modified_gmt":"2025-09-16T07:14:49","slug":"bifurkasi-pada-model-predator-prey-diskret-dengan-fungsi-respon-ratio-depedent-dan-pemanenan","status":"publish","type":"post","link":"https:\/\/www.its.ac.id\/publikasi\/2025\/09\/16\/bifurkasi-pada-model-predator-prey-diskret-dengan-fungsi-respon-ratio-depedent-dan-pemanenan\/","title":{"rendered":"Bifurkasi pada Model Predator-Prey Diskret dengan Fungsi Respon Ratio-Depedent dan Pemanenan"},"content":{"rendered":"<section class=\"item authors\">\n<ul class=\"authors\">\n<li><span class=\"name\">Agus Suryanto<\/span><span class=\"affiliation\">Department of Mathematics, University of Brawijaya<\/span><\/li>\n<li><span class=\"name\">Vira Hari Krisnawati<\/span><span class=\"affiliation\">Department of Mathematics, Universitas Brawijaya Malang<\/span><\/li>\n<li><span class=\"name\">Sri Puji Lestari<\/span><span class=\"affiliation\">Department of Mathematics, Universitas Brawijaya Malang<\/span><\/li>\n<li><span class=\"name\">Denis Andre Matatula<\/span><span class=\"affiliation\">Department of Mathematics, Universitas Brawijaya Malang<\/span><\/li>\n<li><span class=\"name\">Mohammad Fahrurrozy<\/span><span class=\"affiliation\">Department of Mathematics, Universitas Brawijaya Malang<\/span><\/li>\n<\/ul>\n<\/section>\n<section class=\"item doi\">\n<h2 class=\"label\">DOI:<\/h2>\n<p><span class=\"value\"><a href=\"https:\/\/doi.org\/10.12962\/limits.v22i2.3450\">https:\/\/doi.org\/10.12962\/limits.v22i2.3450<\/a><\/span><\/section>\n<section class=\"item keywords\">\n<h2 class=\"label\">Keywords:<\/h2>\n<p><span class=\"value\">stability analysis, period-doubling bifurcation, Neimark-Sacker bifurcation<\/span><\/section>\n<section class=\"item abstract\">\n<h2 class=\"label\">Abstract<\/h2>\n<p>This article discusses a predator-prey model with a ratio-dependent functional response and harvesting in both populations.\u00a0 The differential equation of predator-prey model is discretized using the Euler method. The dynamics of the obtained discrete time model are investigated by determining the fixed points as well as their stability properties, and bifurcation analysis. Bifurcation analysis shows that the discrete time model can experience bifurcation, both period-doubling bifurcation and Neimark-Sacker bifurcation, when the value of time-integration step \u00a0passes a critical value. The analysis results have been confirmed by our numerical simulation results presented at the end of this article.<br \/>\n<a href=\"https:\/\/journal.its.ac.id\/index.php\/limits\/article\/view\/3450\">PDF<\/a><br \/>\n<\/section>\n","protected":false},"excerpt":{"rendered":"<p>Agus SuryantoDepartment of Mathematics, University of Brawijaya Vira Hari KrisnawatiDepartment of Mathematics, Universitas Brawijaya Malang Sri Puji LestariDepartment of Mathematics, Universitas Brawijaya Malang Denis Andre MatatulaDepartment of Mathematics, Universitas Brawijaya Malang Mohammad FahrurrozyDepartment of Mathematics, Universitas Brawijaya Malang DOI: https:\/\/doi.org\/10.12962\/limits.v22i2.3450 Keywords: stability analysis, period-doubling bifurcation, Neimark-Sacker bifurcation Abstract This article discusses a predator-prey model with [&hellip;]<\/p>\n","protected":false},"author":250,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_joinchat":[],"footnotes":""},"categories":[79],"tags":[],"class_list":["post-1566","post","type-post","status-publish","format-standard","hentry","category-limits-jurnal"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - 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