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...
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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 |
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