TY - GEN
T1 - One-prey two-predator model with prey harvesting in a food chain interaction
AU - Sayekti, I. M.
AU - Malik, M.
AU - Aldila, D.
N1 - Publisher Copyright:
© 2017 Author(s).
PY - 2017/7/10
Y1 - 2017/7/10
N2 - The interaction between prey, secondary predator, and primary predator as a mathematical model of the one-prey and two-predator system with constant harvesting in prey population will be introduced in this article. Their interaction might describe as a food pyramid, with the preys is in the lowest level of the pyramid, secondary predators in the middle, and primary predators in the top of the pyramid. Human intervention to controlling prey population is needed and will be analyzed how this will effect on the existence of secondary predator and primary predator population. Equilibrium points and their existence criteria will be analyzed to find a threshold that will guarantee the coexistence of this system. Some numerical simulation will be given to illustrate the analytical results. We find that as long as harvesting rate in prey population is smaller than prey intrinsic growth rate, coexistence might achieve.
AB - The interaction between prey, secondary predator, and primary predator as a mathematical model of the one-prey and two-predator system with constant harvesting in prey population will be introduced in this article. Their interaction might describe as a food pyramid, with the preys is in the lowest level of the pyramid, secondary predators in the middle, and primary predators in the top of the pyramid. Human intervention to controlling prey population is needed and will be analyzed how this will effect on the existence of secondary predator and primary predator population. Equilibrium points and their existence criteria will be analyzed to find a threshold that will guarantee the coexistence of this system. Some numerical simulation will be given to illustrate the analytical results. We find that as long as harvesting rate in prey population is smaller than prey intrinsic growth rate, coexistence might achieve.
UR - http://www.scopus.com/inward/record.url?scp=85026196526&partnerID=8YFLogxK
U2 - 10.1063/1.4991228
DO - 10.1063/1.4991228
M3 - Conference contribution
AN - SCOPUS:85026196526
T3 - AIP Conference Proceedings
BT - International Symposium on Current Progress in Mathematics and Sciences 2016, ISCPMS 2016
A2 - Sugeng, Kiki Ariyanti
A2 - Triyono, Djoko
A2 - Mart, Terry
PB - American Institute of Physics Inc.
T2 - 2nd International Symposium on Current Progress in Mathematics and Sciences 2016, ISCPMS 2016
Y2 - 1 November 2016 through 2 November 2016
ER -