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SOLVED:Reaction-diffusion systems (a) Use Taylor-series expansions for R1 and R2 to show that equations (20 a, b) lead to equations (24 a, b) for small perturbations. (b) Show that equations (24 a, b) are equivalent to system (26 a-d). (c) Show that by assuming perturbations of the form (27) one arrives at equations (28 a, b). (d) Verify that equation (30) results. (e) Use the inequality (33b) directly to reason that diffusion has the capacity to act as a destabilizing influence [Hint: note the
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