Could you please help to solve the problem

Show that the region is positively invariant

17. Consider the n-species competition model given by dx; / Xiaio- = ;;; ; i = 1, 2, ...,n, dt where ajo > 0 and aij > 0, i, j = 1, 2,..., n. Show that the region R {(x1,x2,...,xn) |x; 20, i = 1, 2, ..., n} is positively invariant. (Hint: Deter- mine the direction of flow on each of the n faces: N; = {(x1, x2, ..., Xn) E R" |x; = 0, x; > 0, i}, i = 1,2,..., n. 17. Consider the n-species competition model given by dx; / Xiaio- = ;;; ; i = 1, 2, ...,n, dt where ajo > 0 and aij > 0, i, j = 1, 2,..., n. Show that the region R {(x1,x2,...,xn) |x; 20, i = 1, 2, ..., n} is positively invariant. (Hint: Deter- mine the direction of flow on each of the n faces: N; = {(x1, x2, ..., Xn) E R" |x; = 0, x; > 0, i}, i = 1,2,..., n