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- W2025005962 abstract "To demonstrate the influence of spatial heterogeneity on the predator-prey model, we study the effects of the partial vanishing of the nonnegative coefficient functions b(x) and e(x), respectively, in the steady-state predator-prey model {l} -d_1(x)Delta u=lambda a_1(x)u-b(x)u^2-c(x)uv, -d_2(x)Delta v=mu a_2(x)c-e(x) v^2+d(x)uv, end{array} quad u|_{partial Omega}=v|_{partial Omega}=0, where all other coefficient functions are strictly positive over the bounded domain $Omega$ in RN. Critical values of the parameter $lambda$ are obtained to show that, in each case, the vanishing has little effect on the behavior of the model when $lambda$ is below the critical value, while essential changes occur once $lambda$ is beyond the critical value." @default.
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- W2025005962 date "2002-01-01" @default.
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- W2025005962 title "Effects of Certain Degeneracies in the Predator-Prey Model" @default.
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- W2025005962 doi "https://doi.org/10.1137/s0036141001387598" @default.
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