00000ctm a22000003a 4500 UP-8027390931312556435 Buklod 20211013133651.0 o--- | || || ta 211013s2019 xx d r |||| u| (iLib)UPCEB-00012249431 UPC eng LG 993.5 2019 M38 N37 Narca, Mary Joyce R. Local stability analysis of a competition model of two different species in an ecosystem Mary Joyce R. Narca ; Dr. Lorna S. Almocera, adviser. Cebu City College of Science, University of the Philippines Cebu 2019. 51 leaves Thesis (Bachelor of Science in Mathematics)--University of the Philippines Cebu. June 2019. 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. Almocera, Lorna S. adviser. https://drive.google.com/file/d/1imoexg4i-ZI4jteSuljc8VDKOqWxitW_/view?usp=sharing UP UPCEB CEBU-LAHUG LG 993.5 2019 M38 N37 Thesis