TY - JOUR
AU - Marwan, Marwan
AU - Tuwankotta, Johan Matheus
AU - Harjanto, Eric
PY - 2018/05/18
Y2 - 2022/08/08
TI - Application of Lagrange Multiplier Method for Computing Fold Bifurcation Point in A Two-Prey One Predator Dynamical System
JF - Journal of the Indonesian Mathematical Society
JA - JIMS
VL - 24
IS - 2
SE - Articles
DO - 10.22342/jims.24.2.595.7-19
UR - https://jims-a.org/index.php/jimsa/article/view/595
SP - 7-19
AB - <p>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.</p>
ER -