A multi-channel spatio-temporal Hammerstein modeling approach for nonlinear distributed parameter processes

2009 ◽  
Vol 19 (1) ◽  
pp. 85-99 ◽  
Author(s):  
Chenkun Qi ◽  
Hai-Tao Zhang ◽  
Han-Xiong Li
2014 ◽  
Vol 25 ◽  
pp. 309-321 ◽  
Author(s):  
Chenkun Qi ◽  
Han-Xiong Li ◽  
Shaoyuan Li ◽  
Xianchao Zhao ◽  
Feng Gao

1992 ◽  
Vol 02 (04) ◽  
pp. 423-439 ◽  
Author(s):  
SUZANNE M. LENHART ◽  
MAHADEV G. BHAT

A bioeconomic model for optimal control of wildlife damage by migratory small mammal populations is developed under the framework of a nonlinear distributed parameter control problem. The model first simulates the spatio-temporal dynamics of dispersal population by parabolic diffusive Volterra-Lotka partial differential equation and then optimizes a criterion function of present value combined costs of wildlife damage and harvesting. The existence of a unique optimal solution for a finite time problem is proved. An iterative procedure for numerical solution of the Optimality System with parabolic equations of opposite orientations is developed. The theoretical model is applied to a real life problem using biological and economic data for beaver populations under certain simplistic assumptions.


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