CONSUME_3 ¼ MIN(PREY_3,CONSUME_RATE * PRED_3)
CONSUME_4 ¼ MIN(PREY_4,CONSUME_RATE * PRED_4)
CONSUME_RATE ¼ 1
CONSUME__1 ¼ MIN(PREY_1,CONSUME_RATE * PRED_1)
CYCLE_TIME ¼ 8
MIG_RATE_PRED ¼ .05 {this times the number of starvation deaths is the
number that migrate}
MIG_RATE_PREY ¼ .1 {this is the proportion of the prey that migrate}
PPRED_DN_1 ¼ RANDOM(0,1)
PPRED_DN_2 ¼ RANDOM(0,1)
PPRED_LF_2 ¼ RANDOM(0,1)
PPRED_LF_4 ¼ RANDOM(0,1)
PPRED_RT_1 ¼ RANDOM(0,1)
PPRED_RT_3 ¼ RANDOM(0,1)
PPRED_UP_3 ¼ RANDOM(0,1)
PPRED_UP_4 ¼ RANDOM(0,1)
PPREY_DN_1 ¼ RANDOM(0,1)
PPREY_DN_2 ¼ RANDOM(0,1)
PPREY_LF_2 ¼ RANDOM(0,1)
PPREY_LF_4 ¼ RANDOM(0,1)
PPREY_RT_1 ¼ RANDOM(0,1)
PPREY_RT_3 ¼ RANDOM(0,1)
PPREY_UP_3 ¼ RANDOM(0,1)
PPREY_UP_4 ¼ RANDOM(0,1)
PRED_DN_1 ¼ MIG_PRED_1 * PPRED_DN_1/PRED_PROB_1
PRED_DN_2 ¼ MIG_PRED_2 * PPRED_DN_2/PRED_PROB_2
PRED_LF_2 ¼ MIG_PRED_2 * PPRED_LF_2/PRED_PROB_2
PRED_LF_4 ¼ MIG_PRED_4 * PPRED_LF_4/PRED_PROB_4
PRED_POPULATION ¼ PRED_1+PRED_2+PRED_3+PRED_4
PRED_PROB_1 ¼ PPRED_RT_1+PPRED_DN_1
PRED_PROB_2 ¼ PPRED_LF_2+PPRED_DN_2
PRED_PROB_3 ¼ PPRED_RT_3+PPRED_UP_3
PRED_PROB_4 ¼ PPRED_LF_4+PPRED_UP_4
PRED_RT_1 ¼ MIG_PRED_1 * PPRED_RT_1/PRED_PROB_1
PRED_RT_3 ¼ MIG_PRED_3 * PPRED_RT_3/PRED_PROB_3
PRED_UP_2 ¼ MIG_PRED_4 * PPRED_UP_4/PRED_PROB_4
PRED_UP_3 ¼ MIG_PRED_3 * PPRED_UP_3/PRED_PROB_3
PREY_DN_1 ¼ MIG_PREY_1 * PPREY_DN_1/PREY_PROB_1
PREY_DN_2 ¼ MIG_PREY_2 * PPREY_DN_2/PREY_PROB_2
PREY_LF_2 ¼ MIG_PREY_2 * PPREY_LF_2/PREY_PROB_2
PREY_LF_4 ¼ MIG_PREY_4 * PPREY_LF_4/PREY_PROB_4
PREY_POPULATION ¼ PREY_1+PREY_3+PREY_2+PREY_4
PREY_PROB_1 ¼ PPREY_RT_1+PPREY_DN_1
PREY_PROB_2 ¼ PPREY_LF_2+PPREY_DN_2
40.2 Spatial Predator–Prey Model Equations
373
CONSUME_4 ¼ MIN(PREY_4,CONSUME_RATE * PRED_4)
CONSUME_RATE ¼ 1
CONSUME__1 ¼ MIN(PREY_1,CONSUME_RATE * PRED_1)
CYCLE_TIME ¼ 8
MIG_RATE_PRED ¼ .05 {this times the number of starvation deaths is the
number that migrate}
MIG_RATE_PREY ¼ .1 {this is the proportion of the prey that migrate}
PPRED_DN_1 ¼ RANDOM(0,1)
PPRED_DN_2 ¼ RANDOM(0,1)
PPRED_LF_2 ¼ RANDOM(0,1)
PPRED_LF_4 ¼ RANDOM(0,1)
PPRED_RT_1 ¼ RANDOM(0,1)
PPRED_RT_3 ¼ RANDOM(0,1)
PPRED_UP_3 ¼ RANDOM(0,1)
PPRED_UP_4 ¼ RANDOM(0,1)
PPREY_DN_1 ¼ RANDOM(0,1)
PPREY_DN_2 ¼ RANDOM(0,1)
PPREY_LF_2 ¼ RANDOM(0,1)
PPREY_LF_4 ¼ RANDOM(0,1)
PPREY_RT_1 ¼ RANDOM(0,1)
PPREY_RT_3 ¼ RANDOM(0,1)
PPREY_UP_3 ¼ RANDOM(0,1)
PPREY_UP_4 ¼ RANDOM(0,1)
PRED_DN_1 ¼ MIG_PRED_1 * PPRED_DN_1/PRED_PROB_1
PRED_DN_2 ¼ MIG_PRED_2 * PPRED_DN_2/PRED_PROB_2
PRED_LF_2 ¼ MIG_PRED_2 * PPRED_LF_2/PRED_PROB_2
PRED_LF_4 ¼ MIG_PRED_4 * PPRED_LF_4/PRED_PROB_4
PRED_POPULATION ¼ PRED_1+PRED_2+PRED_3+PRED_4
PRED_PROB_1 ¼ PPRED_RT_1+PPRED_DN_1
PRED_PROB_2 ¼ PPRED_LF_2+PPRED_DN_2
PRED_PROB_3 ¼ PPRED_RT_3+PPRED_UP_3
PRED_PROB_4 ¼ PPRED_LF_4+PPRED_UP_4
PRED_RT_1 ¼ MIG_PRED_1 * PPRED_RT_1/PRED_PROB_1
PRED_RT_3 ¼ MIG_PRED_3 * PPRED_RT_3/PRED_PROB_3
PRED_UP_2 ¼ MIG_PRED_4 * PPRED_UP_4/PRED_PROB_4
PRED_UP_3 ¼ MIG_PRED_3 * PPRED_UP_3/PRED_PROB_3
PREY_DN_1 ¼ MIG_PREY_1 * PPREY_DN_1/PREY_PROB_1
PREY_DN_2 ¼ MIG_PREY_2 * PPREY_DN_2/PREY_PROB_2
PREY_LF_2 ¼ MIG_PREY_2 * PPREY_LF_2/PREY_PROB_2
PREY_LF_4 ¼ MIG_PREY_4 * PPREY_LF_4/PREY_PROB_4
PREY_POPULATION ¼ PREY_1+PREY_3+PREY_2+PREY_4
PREY_PROB_1 ¼ PPREY_RT_1+PPREY_DN_1
PREY_PROB_2 ¼ PPREY_LF_2+PPREY_DN_2
40.2 Spatial Predator–Prey Model Equations
373
