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Harjanto, Eric
Analysis And Geometry Faculty Of Mathematics And Natural Sciences Institut Teknologi Bandung
Mathematics Social Sciences

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On Territorial Competition between Rhinoceros Sondaicus and Bos Javanicus at Ujung Kulon National Park Harjanto, Eric
Communication in Biomathematical Sciences Vol 1, No 1 (2017)
Publisher : Indonesian Bio-Mathematical Society

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (266.028 KB) | DOI: 10.5614/cbms.2017.1.1.4

Abstract

In this paper, we consider the interaction between Rhinoceros Sondaicus, known as Javan Rhino, and Bos Javanicus, known as Javan Bull, at Ujung Kulon National Park. For years, the population of Javan Rhinos never exceeds their estimated carrying capacity, despite their vast habitat and there is no natural predator in the area. Both species naturally consume different food resources, hence there is no direct competition on food resource between the two species. This stagnant growth of Javan Rhino is suspected due to the territorial competition between the two species, in which the rapid growth of Javan Bull may reduce the territory of Javan Rhino and consequently reduce the carrying capacity of Javan Rhino. We construct a mathematical model ofterritorial competition between two species and show that domination of one species can lower the carrying capacity of the second species.
Application of Lagrange Multiplier Method for Computing Fold Bifurcation Point in A Two-Prey One Predator Dynamical System Marwan Marwan; Johan Matheus Tuwankotta; Eric Harjanto
Journal of the Indonesian Mathematical Society Volume 24 Number 2 (October 2018)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.24.2.595.7-19

Abstract

We propose by means of an example of applications of the classical Lagrange Multiplier Method for computing fold bifurcation point of an equilibrium ina one-parameter family of dynamical systems. We have used the fact that an equilibrium of a system, geometrically can be seen as an intersection between nullcline manifolds of the system. Thus, we can view the problem of two collapsing equilibria as a constrained optimization problem, where one of the nullclines acts as the cost function while the other nullclines act as the constraints.
On Territorial Competition between Rhinoceros Sondaicus and Bos Javanicus at Ujung Kulon National Park Eric Harjanto
Communication in Biomathematical Sciences Vol. 1 No. 1 (2017)
Publisher : Indonesian Bio-Mathematical Society

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/cbms.2017.1.1.4

Abstract

In this paper, we consider the interaction between Rhinoceros Sondaicus, known as Javan Rhino, and Bos Javanicus, known as Javan Bull, at Ujung Kulon National Park. For years, the population of Javan Rhinos never exceeds their estimated carrying capacity, despite their vast habitat and there is no natural predator in the area. Both species naturally consume different food resources, hence there is no direct competition on food resource between the two species. This stagnant growth of Javan Rhino is suspected due to the territorial competition between the two species, in which the rapid growth of Javan Bull may reduce the territory of Javan Rhino and consequently reduce the carrying capacity of Javan Rhino. We construct a mathematical model ofterritorial competition between two species and show that domination of one species can lower the carrying capacity of the second species.
Co-Authors Johan Matheus Tuwankotta Marwan Marwan