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Table 1 The stability of positive equilibrium \((\overline{u},\overline{v})\) for different χ and other parameters

From: Steady states of a diffusive predator-prey model with prey-taxis and fear effect

 

\(\chi <\max_{i\in \mathbb{N}^{+}} \chi _{i}\)

\(\chi >\max_{i\in \mathbb{N}^{+}} \chi _{i}\)

\(pq\leq ck^{2}m\)

(,) is unstable

(,) is stable

\(pq> ck^{2}m\)

(,) is unstable

Hopf bifurcation may occur around (,)