TY  - THES
T1  - Local stability analysis of a competition model of two different species in an ecosystem
A1  - Narca, Mary Joyce R.
A2  - Almocera, Lorna S.
LA  - English
PP  - Cebu City
PB  - College of Science, University of the Philippines Cebu
YR  - 2019
UL  - https://tuklas.up.edu.ph/Record/UP-8027390931312556435
AB  - The populations of two-competing species in an ecosystem are governed by  ẋ = ẋ(1 − aẋ) − ẋy; y = y(b − y) − ẋy + h  where x represents the population of the first specie; y represents the population of the second specie; x represents the change of the population of the first specie over time; y represents the change of the population of second specie over time; h represents constant migration rate of one specie over time (h = 0, h > 0, h < 0) and a & b are positive constants with a as the first specie?s intraspecific competition coefficient and b as the second specie?s intrinsic rate of increase. The existence and stability of equilibrium points were proven and determined. Furthermore, numerical examples were presented to support the analytical results obtained.
CN  - LG 993.5 2019 M38 N37
ER  -