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 Author Comment/Response elynna 02/27/11 8:22pm ∂S(r,t)/∂t= μ-β(t)IS-μS+D_1 ∇^2 S(r,t) (2a) ∂E(r,t)/∂t=β(t)IS-(μ+δ)E+D_2 ∇^2 E(r,t) (2b) ∂I(r,t)/∂t= δE-(γ+μ)I+D_3 ∇^2 I(r,t) (2c) ∂R(r,t)/∂t=γI-μR+D_4 ∇^2 R(r,t) (2d) Here μ is the death rate per capacity, and 1/δ and 1/γ are the mean latent and infectious periods, respectively, of the disease. t is the rate of disease transmission between individuals. The population can be normalized to S+E+I+R =1, so all dependent variables represent fractions of the population. can i know how to discretize the PDE?beside that how to compute the pattern fromation using mathematica?this is the PDE for model cellular automata for dengue?thanks Attachment: Spatial%20organization%20and%20evolution%20period%20of%20the%20epidemic%20model%20using%20cellular%20automata.pdf, URL: ,
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