On Competition between Javan Rhino (Rhinoceros Sondaicus) and Javan Bull (Bos Javanicus) at Ujung Kulon National Park with Allee Effect

In the last few decades, it has been reported that the population of Rhino (Rhinoceros Sondaicus) at the Ujung Kulon National Park has been reaching a stagnation at the number 50s, despite the existing territory can support a much larger number of Rhinos. Here, we construct a dynamical model represe...

Full description

Bibliographic Details
Main Authors: Eric Harjanto, Respati Mentari
Format: Article
Language:English
Published: Indonesian Bio-Mathematical Society 2019-05-01
Series:Communication in Biomathematical Sciences
Subjects:
Online Access:http://journals.itb.ac.id/index.php/cbms/article/view/9370
id doaj-dcbb4f706ed645bc9882cf200c15ad33
record_format Article
spelling doaj-dcbb4f706ed645bc9882cf200c15ad332020-11-25T02:36:53ZengIndonesian Bio-Mathematical SocietyCommunication in Biomathematical Sciences2549-28962019-05-0121475410.5614/cbms.2019.2.1.54111On Competition between Javan Rhino (Rhinoceros Sondaicus) and Javan Bull (Bos Javanicus) at Ujung Kulon National Park with Allee EffectEric Harjanto0Respati Mentari1Department of Mathematics, Bandung Institute of TechnologyDepartment of Mathematics, Bandung Institute of TechnologyIn the last few decades, it has been reported that the population of Rhino (Rhinoceros Sondaicus) at the Ujung Kulon National Park has been reaching a stagnation at the number 50s, despite the existing territory can support a much larger number of Rhinos. Here, we construct a dynamical model representing the interaction between Rhino and Bull (Bos Javanicus) with Allee effect for the Javan rhinos population. This Allee effect may occur in the field, among others, due to the solitary behaviour of Rhino within large territory, imbalance of age structure and gender and difficulty of finding mates in Javan rhinos population which causes inbreeding in the population. In this paper, we follow the previous paper on the territorial competition between Javan  rhino and Javan bull at Ujung Kulon National Park and add Allee effect factor on the Javan rhino’s population. We give a proof on the boundedness of the solution and explanation on the bifurcations that occur in the model. One of these bifurcations plays an important role in the system. Some simulations and suggestion on how to improve the survival of Javan rhino is also included.http://journals.itb.ac.id/index.php/cbms/article/view/9370alee effect, territorial competition, rhinoceros sondaicus, bos javanicus, ujung kulon national park
collection DOAJ
language English
format Article
sources DOAJ
author Eric Harjanto
Respati Mentari
spellingShingle Eric Harjanto
Respati Mentari
On Competition between Javan Rhino (Rhinoceros Sondaicus) and Javan Bull (Bos Javanicus) at Ujung Kulon National Park with Allee Effect
Communication in Biomathematical Sciences
alee effect, territorial competition, rhinoceros sondaicus, bos javanicus, ujung kulon national park
author_facet Eric Harjanto
Respati Mentari
author_sort Eric Harjanto
title On Competition between Javan Rhino (Rhinoceros Sondaicus) and Javan Bull (Bos Javanicus) at Ujung Kulon National Park with Allee Effect
title_short On Competition between Javan Rhino (Rhinoceros Sondaicus) and Javan Bull (Bos Javanicus) at Ujung Kulon National Park with Allee Effect
title_full On Competition between Javan Rhino (Rhinoceros Sondaicus) and Javan Bull (Bos Javanicus) at Ujung Kulon National Park with Allee Effect
title_fullStr On Competition between Javan Rhino (Rhinoceros Sondaicus) and Javan Bull (Bos Javanicus) at Ujung Kulon National Park with Allee Effect
title_full_unstemmed On Competition between Javan Rhino (Rhinoceros Sondaicus) and Javan Bull (Bos Javanicus) at Ujung Kulon National Park with Allee Effect
title_sort on competition between javan rhino (rhinoceros sondaicus) and javan bull (bos javanicus) at ujung kulon national park with allee effect
publisher Indonesian Bio-Mathematical Society
series Communication in Biomathematical Sciences
issn 2549-2896
publishDate 2019-05-01
description In the last few decades, it has been reported that the population of Rhino (Rhinoceros Sondaicus) at the Ujung Kulon National Park has been reaching a stagnation at the number 50s, despite the existing territory can support a much larger number of Rhinos. Here, we construct a dynamical model representing the interaction between Rhino and Bull (Bos Javanicus) with Allee effect for the Javan rhinos population. This Allee effect may occur in the field, among others, due to the solitary behaviour of Rhino within large territory, imbalance of age structure and gender and difficulty of finding mates in Javan rhinos population which causes inbreeding in the population. In this paper, we follow the previous paper on the territorial competition between Javan  rhino and Javan bull at Ujung Kulon National Park and add Allee effect factor on the Javan rhino’s population. We give a proof on the boundedness of the solution and explanation on the bifurcations that occur in the model. One of these bifurcations plays an important role in the system. Some simulations and suggestion on how to improve the survival of Javan rhino is also included.
topic alee effect, territorial competition, rhinoceros sondaicus, bos javanicus, ujung kulon national park
url http://journals.itb.ac.id/index.php/cbms/article/view/9370
work_keys_str_mv AT ericharjanto oncompetitionbetweenjavanrhinorhinocerossondaicusandjavanbullbosjavanicusatujungkulonnationalparkwithalleeeffect
AT respatimentari oncompetitionbetweenjavanrhinorhinocerossondaicusandjavanbullbosjavanicusatujungkulonnationalparkwithalleeeffect
_version_ 1724798101357592576