population.age.model.ode: The PopulationAge model (Population Dynamics with Age...

Description Usage Arguments Value

Description

Population Dynamics Model with Age Classes for an insect Exactly the same model as population.age.model, but written as an ordinary differential equation system (ode) with deSolve package. 7 states variables E : egg stage. homogenous population (density) (number per ha) L1 : larvae1 stage. homogenous population (density) (number per ha) L2 : larvae2 stage. homogenous population (density) (number per ha) L3 : larvae3 stage. homogenous population (density) (number per ha) L4 : larvae4 stage. homogenous population (density) (number per ha) P : pupae stage. homogenous population (density) (number per ha) A : adult stage. homogenous population (density) (number per ha)

Usage

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  population.age.model.ode(rb = 3.5, mE = 0.017,
    rE = 0.172, m1 = 0.06, r12 = 0.217, m2 = 0.032,
    r23 = 0.313, m3 = 0.022, r34 = 0.222, m4 = 0.02,
    r4P = 0.135, mP = 0.02, rPA = 0.099, mA = 0.027,
    iA = 0, duration = 100, dt = 1, method = "euler")

Arguments

rb

: eggs laid per adult per unit area (day-1)

rE

: eggs hatch (day-1)

r12

: relative rate L1->L2 (day-1)

r23

: relative rate L2->L3 (day-1)

r34

: relative rate L3->L4 (day-1)

r4P

: relative rate L4->P (day-1)

rPA

: relative rate P->A (day-1)

mE

: relative mortality rate of egg (day-1)

m1

: relative mortality rate of larvae L1 (day-1)

m2

: relative mortality rate of larvae L2 (day-1)

m3

: relative mortality rate of larvae L3 (day-1)

m4

: relative mortality rate of larvae L4 (day-1)

mP

: relative mortality rate of purpae (day-1)

mA

: relative mortality rate of adult L1 (day-1)

iA

: input rate of adult (unit.day-1)

duration

: simulation duration

dt

: time step for integration

method

: integration method (euler, rk4,...)

Value

data.frame with values for state variables for each time step.



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