40.2 Spatial Predator–Prey Model Equations
PRED_1(t) ¼ PRED_1(t À dt) + (BIRTH_PRED_1 + IM_PRED_1 À
MIG_PRED_1 À DEATH_PRED_1) * dt
INIT PRED_1 ¼ 100.
INFLOWS:
BIRTH_PRED_1 ¼ BR_PRED * (PRED_1ÀDEATH_PRED_1)
IM_PRED_1 ¼ PRED_LF_2+PRED_UP_3
OUTFLOWS:
MIG_PRED_1
¼
MIN(PRED_1ÀDEATH_PRED_1,MIG_RATE_PRED *
DEATH_PRED_1)
DEATH_PRED_1 ¼ PRED_1ÀCONSUME__1/CONSUME_RATE
PRED_2(t) ¼ PRED_2(t À dt) + (BIRTH_PRED_2 + IM_PRED_2 À
MIG_PRED_2 À DEATH_PRED_2) * dt
INIT PRED_2 ¼ 0
INFLOWS:
BIRTH_PRED_2 ¼ BR_PRED * (PRED_2ÀDEATH_PRED_2)
IM_PRED_2 ¼ PRED_RT_1+PRED_UP_2
OUTFLOWS:
MIG_PRED_2
¼
MIN(PRED_2ÀDEATH_PRED_2,MIG_RATE_PRED *
DEATH_PRED_2)
DEATH_PRED_2 ¼ PRED_2ÀCONSUME_2/CONSUME_RATE
PRED_3(t) ¼ PRED_3(t À dt) + (BIRTH_PRED_7 + IM_PRED_7 À
MIG_PRED_3 À DEATH_PRED_3) * dt
INIT PRED_3 ¼ 0
INFLOWS:
BIRTH_PRED_7 ¼ BR_PRED * (PRED_3ÀDEATH_PRED_3)
IM_PRED_7 ¼ PRED_DN_1+PRED_LF_4
OUTFLOWS:
MIG_PRED_3
¼
MIN(PRED_3ÀDEATH_PRED_3,DEATH_PRED_3 *
MIG_RATE_PRED)
DEATH_PRED_3 ¼ PRED_3-CONSUME_3/CONSUME_RATE
PRED_4(t) ¼ PRED_4(t À dt) + (BIRTH_PRED_4 + IM_PRED_4 À
MIG_PRED_4 À DEATH_PRED_4) * dt
INIT PRED_4 ¼ 0
INFLOWS:
BIRTH_PRED_4 ¼ BR_PRED * (PRED_4ÀDEATH_PRED_4)
IM_PRED_4 ¼ PRED_DN_2+PRED_RT_3
OUTFLOWS:
MIG_PRED_4
¼
MIN(PRED_4ÀDEATH_PRED_4,DEATH_PRED_4 *
MIG_RATE_PRED)
DEATH_PRED_4 ¼ PRED_4ÀCONSUME_4/CONSUME_RATE
PREY_1(t) ¼ PREY_1(t À dt) + (BIRTH_PREY_1 + IM_PREY_1 À
DEATH_PREY_1 À MIG_PREY_1) * dt
INIT PREY_1 ¼ 1000.
40.2 Spatial Predator–Prey Model Equations
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