Recent content by jinx

  1. J

    Continuous-Time Markov Chain populations

    Let me rephrase my question with more detail: I'm working on a CTMC three-state model to obtain time-dependent populations of each state. S <=> E <=> G I have built a rate matrix for this (diffusion) process. K = \begin{pmatrix} K_{SS} & K_{SE} & K_{SG}\\ K_{ES} & K_{EE} & K_{EG}\\...
  2. J

    Continuous-Time Markov Chain populations

    Hello, I'm working on a CTMC three-state model to obtain time-dependent populations of each state. S <=> E <=> G I have built a rate matrix for this (diffusion) process. K = \begin{pmatrix} K_{SS} & K_{SE} & K_{SG}\\ K_{ES} & K_{EE} & K_{EG}\\ K_{GS} & K_{GE} & K_{GG} \end{pmatrix} =...
  3. J

    Mathematica Mathematical modelling - Fishery - Harvest equation

    A logistic function has formula U(n+1)=rUn This models the growth in the fish population from year n to year n+1. If you now decided to harvest H fish, your equation looks like this: U(n+1)=rUn-H Now, they want me to find the maximum H for which the population stays constant (growth factor...
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