Beddington and May (1982) have proposed the following model to study the interactions between baleen whales...

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Beddington and May (1982) have proposed the following model to study the interactions between baleen whales and their main food source, krill (a small shrimp-like animal), in the southern ocean: - x x = rx (1 ) - axy = = - D (1 - 1/2 ) bx Here the whale carrying capacity is not constant but is a function of the krill population: Kwhales = bx Analyze this model by determining the steady states and their stability; include a phase-plane diagram. Beddington and May (1982) have proposed the following model to study the interactions between baleen whales and their main food source, krill (a small shrimp-like animal), in the southern ocean: - x x = rx (1 ) - axy = = - D (1 - 1/2 ) bx Here the whale carrying capacity is not constant but is a function of the krill population: Kwhales = bx Analyze this model by determining the steady states and their stability; include a phase-plane diagram.