Journal SINTA 3
MATHEMATICAL MODEL OF THREE SPECIES FOOD CHAIN WITH INTRASPECIFIC COMPETITION AND HARVESTING ON PREDATOR
BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 16 No. 2 (2022) · pp. 551–562
- ISSN
- 2615-3017, 1978-7227
- Published
- 2022-06-01
- Publisher
- PATTIMURA UNIVERSITY
- Language
- eng
Abstract
This research develops a mathematical model of three species of food chains between prey, predator, and top predator by adding intraspecific competition and harvesting factors. Interaction between prey with predator and interaction between predator with top predator uses the functional response type II. Model formation begins with creating a diagram food chain of three species compartments. Then a nonlinear differential equation system is formed based on the compartment diagram. Based on this system four equilibrium points are obtained. Analysis of local stability at the equilibrium points by linearization shows that there is one unstable equilibrium point and three asymptotic stable local equilibrium points. Numerical simulations at equilibrium points show the same results as the results of the analysis. Then numerical simulations on several parameter variations show that intraspecific competition has little effect on population changes in predator and top predator. While the harvesting parameter predator affects the population of predator and top predator.
Collaboration network of the authors
34 authors · 76 co-authorship links · 5 across different organisations
Hover or tap a name to highlight its co-authors. Double-click to open the author's page.
- Syarif Hidayatullah State Islamic University Jakarta
- Binus University
- University of Singaperbangsa Karawang
- Diponegoro University
- Affiliation unknown
- Different organisations
- Same organisation
- Affiliation unknown
- Thicker line = more joint articles · bigger circle = more articles
Show as table
| Co-author | Organisation | Joint articles |
|---|---|---|
| Nina Fitriyati | Syarif Hidayatullah State Islamic University Jakarta | 3 |
| Eti Hartati | Syarif Hidayatullah State Islamic University Jakarta | 2 |
| Madona Yunita Wijaya | Syarif Hidayatullah State Islamic University Jakarta | 2 |
| Maimunah Maskur | Binus University | 1 |
| Hendra Kurniawan | Binus University | 1 |
| Nur Lailiyatul Inayah | Syarif Hidayatullah State Islamic University Jakarta | 1 |
| Ikhwal Yupinto | Syarif Hidayatullah State Islamic University Jakarta | 1 |
| Maghvirotul Azizah | Syarif Hidayatullah State Islamic University Jakarta | 1 |
| Savira Pratiwi | Syarif Hidayatullah State Islamic University Jakarta | 1 |
| Raza Aqil Maulana | Syarif Hidayatullah State Islamic University Jakarta | 1 |
| Tesa Nur Padilah | University of Singaperbangsa Karawang | 1 |
| Iqbal Maulana | University of Singaperbangsa Karawang | 1 |
| Yanne Irene | Syarif Hidayatullah State Islamic University Jakarta | 1 |
| Mochammad Rafli Alamsyah | Syarif Hidayatullah State Islamic University Jakarta | 1 |
| Nurcahya Yulian Ashar | Diponegoro University | 1 |
| Yoga Amanda Putra | Syarif Hidayatullah State Islamic University Jakarta | 1 |
| Wahri Irawan | Syarif Hidayatullah State Islamic University Jakarta | 1 |
| Bhakti Prabandyo Wicaksono | Affiliation unknown | 1 |
| Hendra Saputra | Affiliation unknown | 1 |
| Fathur Rahman | Affiliation unknown | 1 |
| Faldi Faldi | Affiliation unknown | 1 |
| Ferry Fadzlul Rahman | Affiliation unknown | 1 |
| Sayekti Harits | Affiliation unknown | 1 |
| Wawan Joko Pranoto | Affiliation unknown | 1 |
| Satrio Sadewo | Affiliation unknown | 1 |
| Mahmudi Mahmudi | Affiliation unknown | 1 |
| Galuh Prayoga | Affiliation unknown | 1 |
| Irma Fauziah | Affiliation unknown | 1 |
| Nur Inayah | Affiliation unknown | 1 |
| Andrew Fiade | Affiliation unknown | 1 |
| Flori Ratna Sari | Affiliation unknown | 1 |
Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.