摘要
The citrate secreted by the rice(Oryza sativa L.)roots will promote the absorption of phosphate,and this process is described by the Kirk model.In our work,the Kirk model is divided into citrate sub-model and phosphate sub-model.In the citrate sub-model,we obtain the analytical solution of citrate with the Laplace transform,inverse Laplace transform and convolution theorem.The citrate solution is substituted into the phosphate sub-model,and the analytical solution of phosphate is obtained by the separation variable method.The existence of the solutions can be proved by the comparison test,the Weierstrass M-test and the Abel discriminating method.
基金
support of the Natural Science Foundations.of China(11671085,11501111 and 11771082)
Leading project in Fujian Province(2015Y0054)
Nonlinear Analysis and Its Applications(19120/Z1607219016,IRTL1206).
