Revision 594 trunk/contrib/ecolib/theta_logistic.cpp

theta_logistic.cpp (revision 594)
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\param r growth rate; differentiable scalar
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\param n0 population size at t=0;  differentiable scalar
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\return  \f$ (K^{-\theta}+(n0^{-\theta}-K^{-\theta})e^{-r\theta t})^{-1/\theta} \f$ 
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\ingroup ECOL
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**/
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dvariable theta_logistic(const double& t,  const prevariable& K,  const prevariable& r,  const prevariable& n0, const prevariable& theta)
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{
......
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\param r growth rate; differentiable scalar
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\param n0 population size at t=0;  differentiable scalar
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\return  \f$ (K^{-\theta}+(n0^{-\theta}-K^{-\theta})e^{-r\theta t})^{-1/\theta} \f$ 
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\ingroup ECOL
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**/
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dvar_vector theta_logistic(const dvector& t,  const prevariable& K,  const prevariable& r,  const prevariable& n0, const prevariable& theta)
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{
......
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\param r growth rate; differentiable scalar
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\param n0 population size at t=0;  differentiable scalar
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\return  \f$ (K^{-\theta}+(n0^{-\theta}-K^{-\theta})e^{-r\theta t})^{-1/\theta} \f$ 
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\ingroup ECOL
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**/
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dvar_vector theta_logistic(const dvector& t,  const dvar_vector& K,  const prevariable& r,  const prevariable& n0, const prevariable& theta)
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{
......
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\param r growth rate; differentiable vector
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\param n0 population size at t=0;  differentiable scalar
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\return  \f$ (K^{-\theta}+(n0^{-\theta}-K^{-\theta})e^{-r\theta t})^{-1/\theta} \f$ 
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\ingroup ECOL
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**/
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dvar_vector theta_logistic(const dvector& t,  const prevariable& K,  const dvar_vector& r,  const prevariable& n0, const prevariable& theta)
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{
......
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\param r growth rate; differentiable vector
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\param n0 population size at t=0;  differentiable scalar
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\return  \f$ (K^{-\theta}+(n0^{-\theta}-K^{-\theta})e^{-r\theta t})^{-1/\theta} \f$ 
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\ingroup ECOL
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**/
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dvar_vector theta_logistic(const dvector& t,  const dvar_vector& K,  const dvar_vector& r,  const prevariable& n0, const prevariable& theta)
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{
......
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\param r growth rate; differentiable scalar
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\param n0 population size at t=0;  differentiable vector
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\return  \f$ (K^{-\theta}+(n0^{-\theta}-K^{-\theta})e^{-r\theta t})^{-1/\theta} \f$ 
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\ingroup ECOL
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**/
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dvar_vector theta_logistic(const dvector& t,  const prevariable& K,  const prevariable& r,  const dvar_vector& n0, const prevariable& theta)
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{
......
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\param r growth rate; differentiable scalar
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\param n0 population size at t=0;  differentiable vector
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\return  \f$ (K^{-\theta}+(n0^{-\theta}-K^{-\theta})e^{-r\theta t})^{-1/\theta} \f$ 
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\ingroup ECOL
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**/
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dvar_vector theta_logistic(const dvector& t,  const dvar_vector& K,  const prevariable& r,  const dvar_vector& n0, const prevariable& theta)
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{
......
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\param r growth rate; differentiable vector
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\param n0 population size at t=0;  differentiable vector
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\return  \f$ (K^{-\theta}+(n0^{-\theta}-K^{-\theta})e^{-r\theta t})^{-1/\theta} \f$ 
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\ingroup ECOL
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**/
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dvar_vector theta_logistic(const dvector& t,  const prevariable& K,  const dvar_vector& r,  const dvar_vector& n0, const prevariable& theta)
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{
......
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\param r growth rate; differentiable vector
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\param n0 population size at t=0;  differentiable vector
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\return  \f$ (K^{-\theta}+(n0^{-\theta}-K^{-\theta})e^{-r\theta t})^{-1/\theta} \f$ 
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\ingroup ECOL
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**/
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dvar_vector theta_logistic(const dvector& t,  const dvar_vector& K,  const dvar_vector& r,  const dvar_vector& n0, const prevariable& theta)
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{
......
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\param r growth rate; differentiable scalar in a random effects model
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\param n0 population size at t=0;  differentiable scalar in a random effects model
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\return  \f$ (K^{-\theta}+(n0^{-\theta}-K^{-\theta})e^{-r\theta t})^{-1/\theta} \f$ 
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\ingroup ECOL
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**/
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df1b2variable theta_logistic(const double& t,  const df1b2variable& K,  const df1b2variable& r,  const df1b2variable& n0, const df1b2variable& theta)
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{
......
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\param r growth rate; differentiable scalar in a random effects model
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\param n0 population size at t=0;  differentiable scalar in a random effects model
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\return  \f$ (K^{-\theta}+(n0^{-\theta}-K^{-\theta})e^{-r\theta t})^{-1/\theta} \f$ 
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\ingroup ECOL
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**/
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df1b2vector theta_logistic(const dvector& t,  const df1b2variable& K,  const df1b2variable& r,  const df1b2variable& n0, const df1b2variable& theta)
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{
......
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\param r growth rate; differentiable scalar in a random effects model
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\param n0 population size at t=0;  differentiable scalar in a random effects model
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\return  \f$ (K^{-\theta}+(n0^{-\theta}-K^{-\theta})e^{-r\theta t})^{-1/\theta} \f$ 
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\ingroup ECOL
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**/
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df1b2vector theta_logistic(const dvector& t,  const df1b2vector& K,  const df1b2variable& r,  const df1b2variable& n0, const df1b2variable& theta)
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{
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