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Variatinns nf the [ntlraanterra equatinns. (a) Mndify the Lntkaanterra eqnatinns tn include lngistie grnwth at the prey. Find the equilibria nf the system and study

Variatinns nf the [ntlraanterra equatinns. (a) Mndify the Lntkaanterra eqnatinns tn include lngistie grnwth at the prey. Find the equilibria nf the system and study their stability. In- elnde phase plane analysis. {In} In aiditinn, assume that the prey pnpnlatinn is alsn snhjeet tn an Allee effect. Find the equilibria nf the system and study their stability. Inelnde phase plane analysis. {1:} 'Write a shnrt summary nf ynnr ndings and enmment them. [EUNUS) lSeusider the fulluwiug system [giyeettr es rtiiuter): f2ammy2 HEMweir\" where (1-, 33 :3 El. Shaw that this system has a unique stead},r state. Are there an},r values ef a, f} fur which the aheve gives rise te I:Ilsl:i11atl:lr3rr hehavieur

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