Table 2: Properties of the fixed point E2(0, d(c1-β)/β+c-c1
Parameter |
Meaning |
x |
density of the prey at time |
y |
density of the predator at time |
b |
intrinsic growth rate of the prey |
a |
intraspecific competetion of the prey |
m |
strength of intraspecific interaction between the prey and the predator |
β |
death rate of the predator |
c1 |
birth rate from the predator cannibalism |
n |
conversion efficiency of ingested prey into new predators |
Table 1 : Parameters in the system (1.5) and their meanings
Table 2: Properties of the fixed point E2(0, d(c1-β)/β+c-c1
Space of Parameters |
Ω3 = {(b, c, c1, d, α, β) ∈ Ω|c ≤ 2, < c1< β + c} |
Ω4 = {(b, c, c1, d, α, β) ∈ Ω |c > 2, β < c1≤ β + 2} |
Ω5 = {(b, c, c1, d, α, β) ∈ Ω|c > 2, β + 2 < c1 < min{β + c, β + d0}} |
Ω6 = {(b, c, c1, d, α, β) ∈ Ω|c > 2, β + 2 < c1= β + d0< β + c} |
Ω7 = {(b, c, c1, d, α, β) ∈ Ω|c > 2, max{β + 2, β + d0}< c1 < β + c} |
Table 3 : Spaces of parameters of transcritical bifurcation occurring at the fixed point E2(0, d(c1-β/β+c-c1)
Tables at a glance