Kumar, Dileep; Nisar, Kottakkaran Sooppy A novel linearized Galerkin finite element scheme with fractional Crank-Nicolson method for the nonlinear coupled delay subdiffusion system with smooth solutions. (English) Zbl 1527.65098 Math. Methods Appl. Sci. 45, No. 3, 1377-1401 (2022). MSC: 65M60 65M12 PDFBibTeX XMLCite \textit{D. Kumar} and \textit{K. S. Nisar}, Math. Methods Appl. Sci. 45, No. 3, 1377--1401 (2022; Zbl 1527.65098) Full Text: DOI
Zhao, Zhihong; Rong, Erhua Reaction diffusion equation with spatio-temporal delay. (English) Zbl 1457.35019 Commun. Nonlinear Sci. Numer. Simul. 19, No. 7, 2252-2261 (2014). MSC: 35K57 35K20 35A01 35A02 35B35 35R10 PDFBibTeX XMLCite \textit{Z. Zhao} and \textit{E. Rong}, Commun. Nonlinear Sci. Numer. Simul. 19, No. 7, 2252--2261 (2014; Zbl 1457.35019) Full Text: DOI
Gan, Wenzhen; Tian, Canrong; Zhang, Qunying; Lin, Zhigui Stability in a simple food chain system with Michaelis-Menten functional response and nonlocal delays. (English) Zbl 1470.35181 Abstr. Appl. Anal. 2013, Article ID 936952, 14 p. (2013). MSC: 35K51 35B35 92D25 PDFBibTeX XMLCite \textit{W. Gan} et al., Abstr. Appl. Anal. 2013, Article ID 936952, 14 p. (2013; Zbl 1470.35181) Full Text: DOI
Ma, Zhan-Ping; Li, Wan-Tong; Yan, Xiang-Ping Stability and Hopf bifurcation for a three-species food chain model with time delay and spatial diffusion. (English) Zbl 1308.92109 Appl. Math. Comput. 219, No. 5, 2713-2731 (2012). MSC: 92D40 35Q92 35B32 PDFBibTeX XMLCite \textit{Z.-P. Ma} et al., Appl. Math. Comput. 219, No. 5, 2713--2731 (2012; Zbl 1308.92109) Full Text: DOI
Su, Ying; Wei, Junjie; Shi, Junping Hopf bifurcation in a diffusive logistic equation with mixed delayed and instantaneous density dependence. (English) Zbl 1263.35028 J. Dyn. Differ. Equations 24, No. 4, 897-925 (2012). Reviewer: Sebastian Anita (Iaşi) MSC: 35B32 35K57 35B10 92D25 35B35 35K20 PDFBibTeX XMLCite \textit{Y. Su} et al., J. Dyn. Differ. Equations 24, No. 4, 897--925 (2012; Zbl 1263.35028) Full Text: DOI
Henríquez, Hernán R.; Pierri, Michelle; Prokopczyk, Andréa Periodic solutions of abstract neutral functional differential equations. (English) Zbl 1255.34067 J. Math. Anal. Appl. 385, No. 2, 608-621 (2012). Reviewer: Zhiming Guo (Guangzhou) MSC: 34K13 34K40 34K30 34K06 PDFBibTeX XMLCite \textit{H. R. Henríquez} et al., J. Math. Anal. Appl. 385, No. 2, 608--621 (2012; Zbl 1255.34067) Full Text: DOI Link
Liao, Maoxin; Tang, Xianhua; Xu, Changjin Stability and instability analysis for a ratio-dependent predator-prey system with diffusion effect. (English) Zbl 1215.35027 Nonlinear Anal., Real World Appl. 12, No. 3, 1616-1626 (2011). MSC: 35B32 35B10 92D25 PDFBibTeX XMLCite \textit{M. Liao} et al., Nonlinear Anal., Real World Appl. 12, No. 3, 1616--1626 (2011; Zbl 1215.35027) Full Text: DOI
Yan, Xiangping; Zhang, Cunhua Asymptotic stability of positive equilibrium solution for a delayed prey-predator diffusion system. (English) Zbl 1185.35121 Appl. Math. Modelling 34, No. 1, 184-199 (2010). MSC: 35K51 35K57 35Q92 92D25 PDFBibTeX XMLCite \textit{X. Yan} and \textit{C. Zhang}, Appl. Math. Modelling 34, No. 1, 184--199 (2010; Zbl 1185.35121) Full Text: DOI
Yan, Xiang-Ping; Zhang, Cun-Hua Direction of Hopf bifurcation in a delayed Lotka-Volterra competition diffusion system. (English) Zbl 1162.92044 Nonlinear Anal., Real World Appl. 10, No. 5, 2758-2773 (2009). MSC: 92D40 35B32 34K60 35Q80 PDFBibTeX XMLCite \textit{X.-P. Yan} and \textit{C.-H. Zhang}, Nonlinear Anal., Real World Appl. 10, No. 5, 2758--2773 (2009; Zbl 1162.92044) Full Text: DOI
Henriquez, H. R. Periodic solutions of abstract neutral functional differential equations with infinite delay. (English) Zbl 1265.34246 Acta Math. Hung. 121, No. 3, 203-227 (2008). MSC: 34K13 34K30 34K40 47D06 47N20 PDFBibTeX XMLCite \textit{H. R. Henriquez}, Acta Math. Hung. 121, No. 3, 203--227 (2008; Zbl 1265.34246) Full Text: DOI Link
Yan, Xiang-Ping Stability and Hopf bifurcation for a delayed prey-predator system with diffusion effects. (English) Zbl 1193.35098 Appl. Math. Comput. 192, No. 2, 552-566 (2007). MSC: 35K57 92D25 37N25 35B35 35R10 37L10 PDFBibTeX XMLCite \textit{X.-P. Yan}, Appl. Math. Comput. 192, No. 2, 552--566 (2007; Zbl 1193.35098) Full Text: DOI
Wang, Yuan-Ming Asymptotic behavior of solutions for a class of predator-prey reaction-diffusion systems with time delays. (English) Zbl 1112.35106 J. Math. Anal. Appl. 328, No. 1, 137-150 (2007). Reviewer: Wan-Tong Li (Lanzhou) MSC: 35K57 35B40 35B05 92D25 35R10 PDFBibTeX XMLCite \textit{Y.-M. Wang}, J. Math. Anal. Appl. 328, No. 1, 137--150 (2007; Zbl 1112.35106) Full Text: DOI
Gil’, M. I. Stability of abstract nonlinear nonautonomous differential–delay equations with unbounded history-responsive operators. (English) Zbl 1080.34062 J. Math. Anal. Appl. 308, No. 1, 140-158 (2005). Reviewer: Nazim Idris Mahmudov (Mersin) MSC: 34K30 34K20 PDFBibTeX XMLCite \textit{M. I. Gil'}, J. Math. Anal. Appl. 308, No. 1, 140--158 (2005; Zbl 1080.34062) Full Text: DOI
Chen, Yunlan; Wang, Mingxin Asymptotic behavior of solutions of a three-species predator-prey model with diffusion and time delays. (English) Zbl 1058.35105 Appl. Math. Lett. 17, No. 12, 1403-1408 (2004). MSC: 35K57 35K50 35B40 92D25 35R10 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{M. Wang}, Appl. Math. Lett. 17, No. 12, 1403--1408 (2004; Zbl 1058.35105) Full Text: DOI
Kolmanovskii, V. B.; Castellanos-Velasco, E.; Torres-Muñoz, J. A. A survey: stability and boundedness of Volterra difference equations. (English) Zbl 1031.39005 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 53, No. 7-8, 861-928 (2003). Reviewer: Alberto Cabada (Santiago de Compostela) MSC: 39A11 39-02 PDFBibTeX XMLCite \textit{V. B. Kolmanovskii} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 53, No. 7--8, 861--928 (2003; Zbl 1031.39005) Full Text: DOI
Tang, X. H.; Zou, Xingfu \({3/2}\)-type criteria for global attractivity of Lotka–Volterra competition system without instantaneous negative feedbacks. (English) Zbl 1028.34070 J. Differ. Equations 186, No. 2, 420-439 (2002). Reviewer: Marcos Lizana (Merida) MSC: 34K20 92D25 PDFBibTeX XMLCite \textit{X. H. Tang} and \textit{X. Zou}, J. Differ. Equations 186, No. 2, 420--439 (2002; Zbl 1028.34070) Full Text: DOI
Gil’, M. I. Solution estimates for abstract nonlinear time-variant differential-delay equations. (English) Zbl 1009.34071 J. Math. Anal. Appl. 270, No. 1, 51-65 (2002). Reviewer: Sergiu Aizicovici (Athens/Ohio) MSC: 34K30 35K60 45K05 PDFBibTeX XMLCite \textit{M. I. Gil'}, J. Math. Anal. Appl. 270, No. 1, 51--65 (2002; Zbl 1009.34071) Full Text: DOI
Laister, R. Global asymptotic behaviour in some functional parabolic equations. (English) Zbl 1006.35099 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 50, No. 3, 347-361 (2002). Reviewer: Shigui Ruan (Halifax) MSC: 35R10 35K60 PDFBibTeX XMLCite \textit{R. Laister}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 50, No. 3, 347--361 (2002; Zbl 1006.35099) Full Text: DOI
Pao, C. V. Convergence of solutions of reaction-diffusion systems with time delays. (English) Zbl 0992.35105 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 48, No. 3, 349-362 (2002). Reviewer: Dian K.Palagachev (Bari) MSC: 35R10 35K57 PDFBibTeX XMLCite \textit{C. V. Pao}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 48, No. 3, 349--362 (2002; Zbl 0992.35105) Full Text: DOI
Huang, Wenzhang Global dynamics for a reaction-diffusion equation with time delay. (English) Zbl 0905.35093 J. Differ. Equations 143, No. 2, 293-326 (1998). Reviewer: S.P.Banks (Sheffield) MSC: 35R10 35K57 PDFBibTeX XMLCite \textit{W. Huang}, J. Differ. Equations 143, No. 2, 293--326 (1998; Zbl 0905.35093) Full Text: DOI
Koh, D.; Wei, J.; Wu, J. Spatially heterogeneous discrete waves in predator-prey communities over a patchy environment. (English) Zbl 0838.92030 Math. Biosci. 131, No. 2, 135-155 (1996). MSC: 92D40 34K18 34C23 34C25 34C30 PDFBibTeX XMLCite \textit{D. Koh} et al., Math. Biosci. 131, No. 2, 135--155 (1996; Zbl 0838.92030) Full Text: DOI
Wu, Jianhong; Krawcewicz, W. Discrete waves and phase-locked oscillations in the growth of a single-species population over a patchy environment. (English) Zbl 0898.34064 Open Syst. Inf. Dyn. 1, No. 1, 127-147 (1992). MSC: 34K18 92D25 34C25 34C23 PDFBibTeX XMLCite \textit{J. Wu} and \textit{W. Krawcewicz}, Open Syst. Inf. Dyn. 1, No. 1, 127--147 (1992; Zbl 0898.34064) Full Text: DOI
Kuang, Y. Global stability for a class of nonlinear nonautonomous delay equations. (English) Zbl 0766.34053 Nonlinear Anal., Theory Methods Appl. 17, No. 7, 627-634 (1991). Reviewer: P.N.Bajaj (Wichita) MSC: 34K20 PDFBibTeX XMLCite \textit{Y. Kuang}, Nonlinear Anal., Theory Methods Appl. 17, No. 7, 627--634 (1991; Zbl 0766.34053) Full Text: DOI
Kuang, Y.; Smith, H. L.; Martin, R. H. Global stability for infinite-delay, dispersive Lotka-Volterra systems: Weakly interacting populations in nearly identical patches. (English) Zbl 0731.92029 J. Dyn. Differ. Equations 3, No. 3, 339-360 (1991). Reviewer: Li Bingxi (Guangzhou) MSC: 92D40 34K20 34K30 35R10 34K99 PDFBibTeX XMLCite \textit{Y. Kuang} et al., J. Dyn. Differ. Equations 3, No. 3, 339--360 (1991; Zbl 0731.92029) Full Text: DOI