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Journal : Jurnal Matematika UNAND

DYNAMICS OF THE LESLIE-GOWER PREDATOR-PREY MODEL WITH THE BEDDINGTON-DEANGELIS RESPONSE FUNCTION, INCLUDING THE PRESENCE OF INFECTED PREY AND THE FEAR FACTOR OF SUSCEPTIBLE PREY TOWARD PREDATORS Miswanto, Miswanto; Windarto, Windarto; Eridani, Eridani
Jurnal Matematika UNAND Vol 13, No 4 (2024)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.13.4.373-387.2024

Abstract

This article presents a stability analysis of the Leslie-Gower predator-prey model that is extended by taking into account prey infection, the presence of prey fear factors towards predators and the Beddington-DeAngelis response function. The Leslie-Gower model is a classic model that describes the dynamics of predator and prey populations, while the Beddington-DeAngelis response function accommodates the effects of population density and more complex interactions between predators and prey. The infected prey factor describes the prey's resistance to predator attacks becoming weak, while the prey fear factor towards predators affects prey growth.This study combines the components of infection in the prey population and the prey fear factor into the model to reflect the dynamics of disease and fear factors that can affect model stability. The model studied uses the Beddington-DeAngelis response function which describes the interaction between the prey population and the predator. This study uses two methods, namely analytical methods and numerical simulations. Analytical methods to study the stability analysis of the equilibrium point of the model by exploring the conditions under which the equilibrium point of the model is stable or unstable, focusing on the influence of infection parameters and the Beddington-DeAngelis response function on the stability of the equilibrium point. The results of the analysis show that prey infection and the shape of the response function can significantly affect the stability of the Leslie-Gower predator-prey model. The last section of this article presents numerical simulations that illustrate the stability of the equilibrium point of the model
DYNAMICS OF THE LESLIE-GOWER PREDATOR-PREY MODEL WITH THE BEDDINGTON-DEANGELIS RESPONSE FUNCTION, INCLUDING THE PRESENCE OF INFECTED PREY AND THE FEAR FACTOR OF SUSCEPTIBLE PREY TOWARD PREDATORS Miswanto, Miswanto; Windarto, Windarto; Eridani, Eridani
Jurnal Matematika UNAND Vol. 13 No. 4 (2024)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.13.4.373-387.2024

Abstract

This article presents a stability analysis of the Leslie-Gower predator-prey model that is extended by taking into account prey infection, the presence of prey fear factors towards predators and the Beddington-DeAngelis response function. The Leslie-Gower model is a classic model that describes the dynamics of predator and prey populations, while the Beddington-DeAngelis response function accommodates the effects of population density and more complex interactions between predators and prey. The infected prey factor describes the prey's resistance to predator attacks becoming weak, while the prey fear factor towards predators affects prey growth.This study combines the components of infection in the prey population and the prey fear factor into the model to reflect the dynamics of disease and fear factors that can affect model stability. The model studied uses the Beddington-DeAngelis response function which describes the interaction between the prey population and the predator. This study uses two methods, namely analytical methods and numerical simulations. Analytical methods to study the stability analysis of the equilibrium point of the model by exploring the conditions under which the equilibrium point of the model is stable or unstable, focusing on the influence of infection parameters and the Beddington-DeAngelis response function on the stability of the equilibrium point. The results of the analysis show that prey infection and the shape of the response function can significantly affect the stability of the Leslie-Gower predator-prey model. The last section of this article presents numerical simulations that illustrate the stability of the equilibrium point of the model
Co-Authors A Halim Abdul Munir Abdulah, Budiman Abdullah, Yanuar Rifqi Adhitama, Bagas Afiq, Muhammad Ihlal Afolabi, Ayodeji Sunday Agustina Nurhayati Alfiniyah, Cicik Ali, Toni Saidun Andriyani, Rizka Angelia, Yessi Ria Anwas, Ence Oos M. Anwas, Ihsan Maulana Ariyanti, Adhisya Zafarina Arlinwibowo, Janu Asbi, Asbi Aziz , Asep Rifqi Abdul Bain Khusnul Khotimah Bambang Setia Wibowo Bejo Bejo, Bejo Brio, Bicer Edi Susilo Eridani, Eridani Erwinda, Lira Faisal Faisal Fajriah, Aulia Fathan Faridz Ravsamjani Farih, Muhammad Fathul Muin Febriati, Nurullia Fikri, Arif Hartati Bahar Herry Suprajitno Hikmawati, Iis Ikhwanuddin Ikhwanuddin Imam Santoso Irawan, Mirza Jamil, Helmun Julfi, Alfath Lubis, Najla Maharani, Adila Azzahra Mariana Rachmawati Maulana, Azep Megananda, Erzalina Ayu Satya Merri Hafni MS, Dr. Nuraini Mu'in, Fathul Mu'in, Fathul Mu'in Muhammad Sohib Muhammad Syarief, Muhammad Muna, Hanifatul Najmi, Akmalun Nana Mulyana Nani Yuniar Nufa A, Tommy Taqiyyuddin Nur Khasani, Muhammad Abdurrohman Nur Rochbani, Ita Tryas Nur, Ismail NurSiaga, Rahmat Nurul Fajri Oluwafemi, Temidayo Joseph Pradita, Ega Krisna Pramono, Dwikhy Anindito Prasiska Rahmat, Candra Pratiwi, Sekar Ayu Pristanti, Nindya Ayu Putri Karisma, Sally Quiko, Alfonso Sabatani Rahma Damayanti, Laily Nur Ramadani, Dita Indah Ramadhan, Sufi Rafli Relit Nur Edy, Relit Nur Riwayadi, Eko Rr. Forijati -, Rr. Forijati Rubiyanto, Cahyo Wisnu Rudi Santoso, Rudi Ruseno, Ndaru Ruth Riah Ate Tarigan Saidun Ali, Toni Sakirman Sakirman Sepriani, Yusmaidar Septinaulia, Velia Setiawan, Kiki Shah, Imam Shufiyah , Khotimah Nurhaliza Sihite, Fernando Simbolon, Syakira Nazla Siti Roudhotul Jannah, Siti Roudhotul Sitio, Dio Alpian Solihatun, Solihatun Subagyo Subagyo Sumianti, Sumianti Suparti, Shofia Susanto, Juli sutarmi sutarmi Syahputra, Yuda Syawal Harahap, Fitra Tarigan, Rico Kris Hadinata Tesa, Eggi Sandy Utari, Diah Siti Violina, Erwita Ika Walida, Hilwa Wicaksono, Lanang Ilham Windarto, Windarto Yani, Achmad Yulianti, Citra Alifia Zakaria, Aditya