Zhang, Tainian; Luo, Zhixue; Zhang, Hao Optimal harvesting for a periodic \(n\)-dimensional food chain model with size structure in a polluted environment. (English) Zbl 1508.91408 Math. Biosci. Eng. 19, No. 8, 7481-7503 (2022). MSC: 91B76 92D40 35Q91 35Q92 PDFBibTeX XMLCite \textit{T. Zhang} et al., Math. Biosci. Eng. 19, No. 8, 7481--7503 (2022; Zbl 1508.91408) Full Text: DOI
Luo, Zhixue; Fan, Xueliang Optimal control for an age-dependent competitive species model in a polluted environment. (English) Zbl 1364.49054 Appl. Math. Comput. 228, 91-101 (2014). MSC: 49N90 92D25 PDFBibTeX XMLCite \textit{Z. Luo} and \textit{X. Fan}, Appl. Math. Comput. 228, 91--101 (2014; Zbl 1364.49054) Full Text: DOI
Luo, Zhixue; He, Ze-Rong Optimal control for age-dependent population hybrid system in a polluted environment. (English) Zbl 1364.49055 Appl. Math. Comput. 228, 68-76 (2014). MSC: 49N90 92D25 PDFBibTeX XMLCite \textit{Z. Luo} and \textit{Z.-R. He}, Appl. Math. Comput. 228, 68--76 (2014; Zbl 1364.49055) Full Text: DOI
Luo, Zhixue Optimal control for an age-dependent predator-prey system in a polluted environment. (English) Zbl 1297.35251 J. Appl. Math. Comput. 44, No. 1-2, 491-509 (2014). MSC: 35Q93 35F25 35M10 92B05 92D25 35A15 93C20 92D40 PDFBibTeX XMLCite \textit{Z. Luo}, J. Appl. Math. Comput. 44, No. 1--2, 491--509 (2014; Zbl 1297.35251) Full Text: DOI
Luo, Zhi-Xue; Yang, Jian-Yu; Luo, Ya-Juan Optimal control for a nonlinear \(n\)-dimensional competing system with age-structure. (English) Zbl 1280.92054 Int. J. Biomath. 5, No. 3, Article ID 1260008, 12 p. (2012). MSC: 92D25 35Q92 49J20 PDFBibTeX XMLCite \textit{Z.-X. Luo} et al., Int. J. Biomath. 5, No. 3, Article ID 1260008, 12 p. (2012; Zbl 1280.92054) Full Text: DOI
Luo, Zhi-Xue; Yu, Xiao-Di; Ba, Zheng-Gang Overtaking optimal control problem for an age-dependent competition system of \(n\) species. (English) Zbl 1245.93101 Appl. Math. Comput. 218, No. 17, 8561-8569 (2012). MSC: 93C95 92B25 PDFBibTeX XMLCite \textit{Z.-X. Luo} et al., Appl. Math. Comput. 218, No. 17, 8561--8569 (2012; Zbl 1245.93101) Full Text: DOI
Luo, Zhixue; He, Ze-Rong Optimal harvesting problem for an age-dependent \(n\)-dimensional competing system with diffusion. (English) Zbl 1169.35311 Int. J. Biomath. 1, No. 2, 133-145 (2008). MSC: 35B37 35A05 49J20 65M06 93C10 92D25 PDFBibTeX XMLCite \textit{Z. Luo} and \textit{Z.-R. He}, Int. J. Biomath. 1, No. 2, 133--145 (2008; Zbl 1169.35311) Full Text: DOI
Luo, Zhixue Optimal control for a population dynamics with age-dependent and diffusion in a periodic environment. (English) Zbl 1192.49006 J. Appl. Math. Comput. 27, No. 1-2, 77-84 (2008). MSC: 49J20 35B10 65M06 93C10 92D25 49K20 PDFBibTeX XMLCite \textit{Z. Luo}, J. Appl. Math. Comput. 27, No. 1--2, 77--84 (2008; Zbl 1192.49006) Full Text: DOI
Luo, Zhi-Xue; Du, Ming-Yin Optimal harvesting for an age-dependent \(n\)-dimensional food chain model. (English) Zbl 1231.35271 Appl. Math. Mech., Engl. Ed. 29, No. 5, 683-695 (2008). MSC: 35Q92 35Q93 49J20 49N05 93C05 PDFBibTeX XMLCite \textit{Z.-X. Luo} and \textit{M.-Y. Du}, Appl. Math. Mech., Engl. Ed. 29, No. 5, 683--695 (2008; Zbl 1231.35271) Full Text: DOI
Luo, Zhixue Optimal birth control for an age-dependent competition system of \(n\) species. (English) Zbl 1333.49038 J. Syst. Sci. Complex. 20, No. 3, 403-415 (2007). MSC: 49K20 PDFBibTeX XMLCite \textit{Z. Luo}, J. Syst. Sci. Complex. 20, No. 3, 403--415 (2007; Zbl 1333.49038) Full Text: DOI
Luo, Zhixue Optimal harvesting for a population dynamics problem with age-structure and diffusion. (English) Zbl 1141.35333 J. Appl. Math. Comput. 25, No. 1-2, 35-50 (2007). MSC: 35B37 35D05 49J20 65M06 93C10 35B50 35K50 PDFBibTeX XMLCite \textit{Z. Luo}, J. Appl. Math. Comput. 25, No. 1--2, 35--50 (2007; Zbl 1141.35333) Full Text: DOI
Luo, Zhixue Optimal birth control for competition system of three species with age-structure. (English) Zbl 1129.35311 J. Appl. Math. Comput. 24, No. 1-2, 49-64 (2007). MSC: 35B37 35D05 49J20 65L12 65M06 45K05 92D25 35B50 PDFBibTeX XMLCite \textit{Z. Luo}, J. Appl. Math. Comput. 24, No. 1--2, 49--64 (2007; Zbl 1129.35311) Full Text: DOI
Luo, Zhixue Optimal harvesting problem for an age-dependent \(n\)-dimensional food chain diffusion model. (English) Zbl 1111.92061 Appl. Math. Comput. 186, No. 2, 1742-1752 (2007). MSC: 92D40 49J20 49N90 PDFBibTeX XMLCite \textit{Z. Luo}, Appl. Math. Comput. 186, No. 2, 1742--1752 (2007; Zbl 1111.92061) Full Text: DOI
Luo, Zhixue Optimal harvesting control problem for an age-dependent competing system of \(n\) species. (English) Zbl 1108.92043 Appl. Math. Comput. 183, No. 1, 119-127 (2006). MSC: 92D40 49N90 49J20 PDFBibTeX XMLCite \textit{Z. Luo}, Appl. Math. Comput. 183, No. 1, 119--127 (2006; Zbl 1108.92043) Full Text: DOI
Luo, Zhixue; He, Zerong; Li, Wantong Optimal birth control for predator-prey system of three species with age-structure. (English) Zbl 1068.92040 Appl. Math. Comput. 155, No. 3, 665-685 (2004). MSC: 92D25 92D40 49J20 49N90 PDFBibTeX XMLCite \textit{Z. Luo} et al., Appl. Math. Comput. 155, No. 3, 665--685 (2004; Zbl 1068.92040) Full Text: DOI
Luo, Zhixue; Li, Wantong; Wang, Miansen Optimal harvesting control problem for linear periodic age-dependent population dynamics. (English) Zbl 1043.92039 Appl. Math. Comput. 151, No. 3, 789-800 (2004). MSC: 92D40 49N90 91B76 49J22 49K22 PDFBibTeX XMLCite \textit{Z. Luo} et al., Appl. Math. Comput. 151, No. 3, 789--800 (2004; Zbl 1043.92039) Full Text: DOI
Luo, Zhixue; Wang, Miansen Optimal harvesting control problem for linear age-dependent population dynamics. (English) Zbl 1046.35011 Appl. Math., Ser. B (Engl. Ed.) 18, No. 4, 412-420 (2003). MSC: 35B37 92D25 PDFBibTeX XMLCite \textit{Z. Luo} and \textit{M. Wang}, Appl. Math., Ser. B (Engl. Ed.) 18, No. 4, 412--420 (2003; Zbl 1046.35011) Full Text: DOI
Luo, Zhixue; He, Ze-Rong; Li, Wan-Tong Optimal birth control for an age-dependent \(n\)-dimensional food chain model. (English) Zbl 1044.92046 J. Math. Anal. Appl. 287, No. 2, 557-576 (2003). MSC: 92D40 49J20 49N90 PDFBibTeX XMLCite \textit{Z. Luo} et al., J. Math. Anal. Appl. 287, No. 2, 557--576 (2003; Zbl 1044.92046) Full Text: DOI