TY  - THES
T1  - Qualitative analysis of a Prey-Predator System with Holling Type II functional response and prey refuge
A1  - Gomez, Elyssa Jane V.
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-8027390931312556438
AB  - This is an expository of a research entitled "Stability analysis of prey-predator system with Holling type functional response and prey refuge". In this study, we consider the prey-predator system with Holling Type II functional response and prey refuge given by  { ẋ(t) = x (1 − x)(A + x) − xy     ẏ(t) = B(x − C(A + x))y  where parameters A, B, and C are defined as A = 1/Kλh(1−β) > 0, B = c/hr > 0, C = dh/c > 0. Here, x(t) and y(t) are the density of prey and predator populations at time t, respectively, and they are all positive numbers. The parameters have the following biological meanings: r is the intrinsic per capita growth rate of prey population; K is the prey environmental carrying capacity; c is the efficiency with which predators convert consumed prey into new predators; d is the per capita death rate of predators; h is the handling time of predators; λ is the attack efficiency of predator to prey population; and β measures the degree or strength of prey refuge. The function f(x) denotes a generalized functional response and represents the amount of prey killed per unit time by an individual predator.  In this study, we are going to identify the equilibrium points and determine the stability of the equilibrium points of this system, as well as its corresponding biological meaning.
CN  - LG 993.5 2019 M38 G66
ER  -