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J. Bifurcation Chaos"],"published-print":{"date-parts":[[2026,3,30]]},"abstract":"<jats:p>This study investigates a prey-taxis system with a functional response reflecting the cooperation effects proposed by [ Cosner et al. ,\u00a0 1999 ]. Under homogeneous Dirichlet boundary conditions, the existence and nonexistence of coexistence states and global bifurcation branches are examined. Our mathematical analysis relies on a priori bounds, principal eigenvalue theory, homogenization technique and global bifurcation method. This leads us to study the coexistence region and compare our results to the prey-taxis system with linear functional response. 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