Classification of bifurcation diagrams for a multiparameter diffusive logistic problem with Holling type-IV functional response

We study exact multiplicity and bifurcation diagrams of positive solutions for a multiparameter diffusive logistic problem with Holling type-IV functional response{u″(x)+λf(u)=0,−10λ>0 is a bifurcation parameter. Assume that either r⩽η1qr⩽η1q and (q,r)(q,r) lies above the curve Γ1={(q,r):q(a)=1+3a22a,r(a)=1+3a2(1+a2)2,0