14. [46 Points] DETAI LS SCALCQ 9.6.002. MY NOTES ASK YOUR TEACH ER Each system of differential equations is a model for two species that either compete for the same resources or cooperate for mutual benefit (flowering plants and insect pollinators, for instance). Decide whether each system describes competition or cooperation and explain whyr it is a reasonable model. (Ask yourself what effect an increase in one species has on the growth rate of the other.) dx {3) E = 0.12:: 000(36):2 + 0.00001Xy gift = 0.08)! + 0.00004xy The xy terms represent encounters between the two species x and y. An increase in x makes the growth rate of y -Selac1 , while an increase in it makes the growth rate ofx -Salect o . Hence, the system describes a 0 --Select-- 0 model. of (b) 3" = o.19x tic-002.1:2 0.0006xy d "5ft:- = 0.2}: 0.00008y2 o.ooo2xy The X)! terms represent encounters between the two species x and y. An increase in x makes the growth rate of y -Salect o , while an increase in y makes the growth rate 0er -Select 0 . Hence, the system describes a -Select-- 0 model. Show My Work [opium O