Sugie, Jitsuro Uniform global asymptotic stability for nonautonomous nonlinear dynamical systems. (English) Zbl 1504.93308 J. Math. Anal. Appl. 519, No. 1, Article ID 126768, 22 p. (2023). MSC: 93D20 93C10 34D23 92D40 92D25 PDFBibTeX XMLCite \textit{J. Sugie}, J. Math. Anal. Appl. 519, No. 1, Article ID 126768, 22 p. (2023; Zbl 1504.93308) Full Text: DOI
Li, Wenxiu; Huang, Lihong; Wang, Jiafu Global asymptotical stability and sliding bifurcation analysis of a general Filippov-type predator-prey model with a refuge. (English) Zbl 1510.92171 Appl. Math. Comput. 405, Article ID 126263, 14 p. (2021). MSC: 92D25 37G10 37N25 PDFBibTeX XMLCite \textit{W. Li} et al., Appl. Math. Comput. 405, Article ID 126263, 14 p. (2021; Zbl 1510.92171) Full Text: DOI
Beroual, Nabil; Sari, Tewfik A predator-prey system with Holling-type functional response. (English) Zbl 1455.34050 Proc. Am. Math. Soc. 148, No. 12, 5127-5140 (2020). MSC: 34C60 34C05 34D20 34D23 92D25 PDFBibTeX XMLCite \textit{N. Beroual} and \textit{T. Sari}, Proc. Am. Math. Soc. 148, No. 12, 5127--5140 (2020; Zbl 1455.34050) Full Text: DOI HAL
Gao, Xiaoyan; Ishag, Sadia; Fu, Shengmao; Li, Wanjun; Wang, Weiming Bifurcation and Turing pattern formation in a diffusive ratio-dependent predator-prey model with predator harvesting. (English) Zbl 1430.35020 Nonlinear Anal., Real World Appl. 51, Article ID 102962, 28 p. (2020). MSC: 35B32 35B36 92D25 35K51 35B35 35Q92 PDFBibTeX XMLCite \textit{X. Gao} et al., Nonlinear Anal., Real World Appl. 51, Article ID 102962, 28 p. (2020; Zbl 1430.35020) Full Text: DOI
Alonso Izquierdo, A.; González León, M. A.; de la Torre Mayado, M. A generalized Holling type II model for the interaction between dextral-sinistral snails and Pareas snakes. (English) Zbl 1481.92096 Appl. Math. Modelling 73, 459-472 (2019). MSC: 92D25 PDFBibTeX XMLCite \textit{A. Alonso Izquierdo} et al., Appl. Math. Modelling 73, 459--472 (2019; Zbl 1481.92096) Full Text: DOI arXiv
Jia, Yunfeng; Luo, Bimei; Wu, Jianhua; Xu, Hong-Kun Analysis on the existence of the steady-states for an ecological-mathematical model with predator-prey-dependent functional response. (English) Zbl 1431.92124 Comput. Math. Appl. 76, No. 7, 1767-1778 (2018). MSC: 92D25 92D40 35Q92 PDFBibTeX XMLCite \textit{Y. Jia} et al., Comput. Math. Appl. 76, No. 7, 1767--1778 (2018; Zbl 1431.92124) Full Text: DOI
Huang, Kaigang; Cai, Yongli; Rao, Feng; Fu, Shengmao; Wang, Weiming Positive steady states of a density-dependent predator-prey model with diffusion. (English) Zbl 1404.35193 Discrete Contin. Dyn. Syst., Ser. B 23, No. 8, 3087-3107 (2018). MSC: 35J65 35K57 92D25 PDFBibTeX XMLCite \textit{K. Huang} et al., Discrete Contin. Dyn. Syst., Ser. B 23, No. 8, 3087--3107 (2018; Zbl 1404.35193) Full Text: DOI
Khan, A. Q.; Qureshi, M. N. Global dynamics and bifurcations analysis of a two-dimensional discrete-time Lotka-Volterra model. (English) Zbl 1390.49051 Complexity 2018, Article ID 7101505, 18 p. (2018). MSC: 49N75 91A24 93C55 39A28 49K40 93B18 37D45 PDFBibTeX XMLCite \textit{A. Q. Khan} and \textit{M. N. Qureshi}, Complexity 2018, Article ID 7101505, 18 p. (2018; Zbl 1390.49051) Full Text: DOI
Zheng, Lifei; Hu, Guixin; Zhao, Huiyan; Piyaratne, M. K. D. K.; Wan, Aying Global attractivity of the predator-prey system for cotton aphid and seven-spot ladybird beetle with stage structure. (English) Zbl 1380.34125 Int. J. Biomath. 11, No. 1, Article ID 1850012, 22 p. (2018). MSC: 34K60 34K25 92D25 34K20 34K21 PDFBibTeX XMLCite \textit{L. Zheng} et al., Int. J. Biomath. 11, No. 1, Article ID 1850012, 22 p. (2018; Zbl 1380.34125) Full Text: DOI
Jia, Yunfeng; Xue, Pan Effects of the self- and cross-diffusion on positive steady states for a generalized predator-prey system. (English) Zbl 1382.35125 Nonlinear Anal., Real World Appl. 32, 229-241 (2016). MSC: 35K51 35Q92 92D25 35A01 35B35 35B45 PDFBibTeX XMLCite \textit{Y. Jia} and \textit{P. Xue}, Nonlinear Anal., Real World Appl. 32, 229--241 (2016; Zbl 1382.35125) Full Text: DOI
Khan, Abdul; Qureshi, Muhammad Dynamics of a modified Nicholson-Bailey host-parasitoid model. (English) Zbl 1390.39014 Adv. Difference Equ. 2015, Paper No. 23, 15 p. (2015). MSC: 39A10 PDFBibTeX XMLCite \textit{A. Khan} and \textit{M. Qureshi}, Adv. Difference Equ. 2015, Paper No. 23, 15 p. (2015; Zbl 1390.39014) Full Text: DOI
Yang, Wen-bin; Wu, Jianhua; Nie, Hua Some uniqueness and multiplicity results for a predator-prey dynamics with a nonlinear growth rate. (English) Zbl 1422.35045 Commun. Pure Appl. Anal. 14, No. 3, 1183-1204 (2015). MSC: 35J57 35K57 35A01 35B09 35B35 35J91 92D25 PDFBibTeX XMLCite \textit{W.-b. Yang} et al., Commun. Pure Appl. Anal. 14, No. 3, 1183--1204 (2015; Zbl 1422.35045) Full Text: DOI
Luo, Xiao-Feng; Zhang, Xiaoguang; Sun, Gui-Quan; Jin, Zhen Epidemical dynamics of SIS pair approximation models on regular and random networks. (English) Zbl 1395.92156 Physica A 410, 144-153 (2014). MSC: 92D30 05C80 PDFBibTeX XMLCite \textit{X.-F. Luo} et al., Physica A 410, 144--153 (2014; Zbl 1395.92156) Full Text: DOI
Tang, Guangyao; Tang, Sanyi; Cheke, Robert A. Global analysis of a Holling type II predator-prey model with a constant prey refuge. (English) Zbl 1319.92051 Nonlinear Dyn. 76, No. 1, 635-647 (2014). MSC: 92D25 37N25 PDFBibTeX XMLCite \textit{G. Tang} et al., Nonlinear Dyn. 76, No. 1, 635--647 (2014; Zbl 1319.92051) Full Text: DOI
Cai, Yongli; Banerjee, Malay; Kang, Yun; Wang, Weiming Spatiotemporal complexity in a predator-prey model with weak Allee effects. (English) Zbl 1308.35028 Math. Biosci. Eng. 11, No. 6, 1247-1274 (2014). MSC: 35B32 35B36 45M10 92C15 PDFBibTeX XMLCite \textit{Y. Cai} et al., Math. Biosci. Eng. 11, No. 6, 1247--1274 (2014; Zbl 1308.35028) Full Text: DOI
Gasull, Armengol; Giacomini, Hector Some applications of the extended Bendixson-Dulac theorem. (English) Zbl 1300.34067 Ibáñez, Santiago (ed.) et al., Progress and challenges in dynamical systems. Proceedings of the international conference “Dynamical systems: 100 years after Poincaré”, Gijón, Spain, September 3–7, 2012. Berlin: Springer (ISBN 978-3-642-38829-3/hbk; 978-3-642-40137-4/ebook). Springer Proceedings in Mathematics & Statistics 54, 233-252 (2013). MSC: 34C07 34C20 37C10 34C05 PDFBibTeX XMLCite \textit{A. Gasull} and \textit{H. Giacomini}, Springer Proc. Math. Stat. 54, 233--252 (2013; Zbl 1300.34067) Full Text: DOI arXiv Link
Luo, Jinhuo Phytoplankton-zooplankton dynamics in periodic environments taking into account eutrophication. (English) Zbl 1308.92086 Math. Biosci. 245, No. 2, 126-136 (2013). MSC: 92D25 92D40 PDFBibTeX XMLCite \textit{J. Luo}, Math. Biosci. 245, No. 2, 126--136 (2013; Zbl 1308.92086) Full Text: DOI
Álvarez, M. J.; Gasull, A.; Prohens, R. Limit cycles for two families of cubic systems. (English) Zbl 1259.34022 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 18, 6402-6417 (2012). Reviewer: Alexander Grin (Grodno) MSC: 34C07 34C23 92D25 34C60 PDFBibTeX XMLCite \textit{M. J. Álvarez} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 18, 6402--6417 (2012; Zbl 1259.34022) Full Text: DOI Link
Guo, Shuang; Jiang, Weihua Global stability and Hopf bifurcation for Gause-type predator-prey system. (English) Zbl 1248.34125 J. Appl. Math. 2012, Article ID 260798, 17 p. (2012). MSC: 34K60 92D25 34C60 34K18 34K13 PDFBibTeX XMLCite \textit{S. Guo} and \textit{W. Jiang}, J. Appl. Math. 2012, Article ID 260798, 17 p. (2012; Zbl 1248.34125) Full Text: DOI
Hasík, Karel On a predator-prey system of Gause type. (English) Zbl 1311.92159 J. Math. Biol. 60, No. 1, 59-74 (2010). MSC: 92D25 34C05 PDFBibTeX XMLCite \textit{K. Hasík}, J. Math. Biol. 60, No. 1, 59--74 (2010; Zbl 1311.92159) Full Text: DOI
Yan, Weiping; Yan, Jurang Periodicity and asymptotic stability of a predator-prey system with infinite delays. (English) Zbl 1201.34111 Comput. Math. Appl. 60, No. 5, 1465-1472 (2010). MSC: 34K13 92D25 34K20 PDFBibTeX XMLCite \textit{W. Yan} and \textit{J. Yan}, Comput. Math. Appl. 60, No. 5, 1465--1472 (2010; Zbl 1201.34111) Full Text: DOI
Ding, Xiaoquan; Jiang, Jifa Multiple periodic solutions in generalized Gause-type predator-prey systems with non-monotonic numerical responses. (English) Zbl 1179.34090 Nonlinear Anal., Real World Appl. 10, No. 5, 2819-2827 (2009). Reviewer: Svitlana P. Rogovchenko (Umeå) MSC: 34K60 92D25 34K13 PDFBibTeX XMLCite \textit{X. Ding} and \textit{J. Jiang}, Nonlinear Anal., Real World Appl. 10, No. 5, 2819--2827 (2009; Zbl 1179.34090) Full Text: DOI
Seo, Gunog; Kot, Mark A comparison of two predator-prey models with Holling’s type I functional response. (English) Zbl 1138.92033 Math. Biosci. 212, No. 2, 161-179 (2008). MSC: 92D40 34C05 34C23 34D20 34C60 PDFBibTeX XMLCite \textit{G. Seo} and \textit{M. Kot}, Math. Biosci. 212, No. 2, 161--179 (2008; Zbl 1138.92033) Full Text: DOI
Ding, Xiaoquan; Jiang, Jifa Positive periodic solutions in delayed Gause-type predator-prey systems. (English) Zbl 1137.34033 J. Math. Anal. Appl. 339, No. 2, 1220-1230 (2008). Reviewer: Yongkun Li (Kunming) MSC: 34K13 92D25 34C60 PDFBibTeX XMLCite \textit{X. Ding} and \textit{J. Jiang}, J. Math. Anal. Appl. 339, No. 2, 1220--1230 (2008; Zbl 1137.34033) Full Text: DOI
Liu, Yaping Geometric criteria for the non-existence of cycles in predator-prey systems with group defense. (English) Zbl 1128.34032 Math. Biosci. 208, No. 1, 193-204 (2007). Reviewer: Josef Hainzl (Freiburg) MSC: 34C60 92D25 34C05 PDFBibTeX XMLCite \textit{Y. Liu}, Math. Biosci. 208, No. 1, 193--204 (2007; Zbl 1128.34032) Full Text: DOI
Sugie, Jitsuro; Kimoto, Kyoko Homoclinic orbits in predator-prey systems with a nonsmooth prey growth rate. (English) Zbl 1129.34036 Q. Appl. Math. 64, No. 3, 447-461 (2006). Reviewer: Peter F. Moson (Budapest) MSC: 34C60 34C37 34C05 34D23 92D25 34D05 PDFBibTeX XMLCite \textit{J. Sugie} and \textit{K. Kimoto}, Q. Appl. Math. 64, No. 3, 447--461 (2006; Zbl 1129.34036) Full Text: DOI
Yang, Xitao Uniform persistence for a predator–prey system with delays. (English) Zbl 1102.34063 Appl. Math. Comput. 173, No. 1, 523-534 (2006). Reviewer: Mingshu Peng (Beijing) MSC: 34K25 92D25 34K60 PDFBibTeX XMLCite \textit{X. Yang}, Appl. Math. Comput. 173, No. 1, 523--534 (2006; Zbl 1102.34063) Full Text: DOI
Xu, Jian; Pei, Lijun; Lu, Zhiqi Lyapunov stability for a class of predator–prey model with delayed nutrient recycling. (English) Zbl 1125.34343 Chaos Solitons Fractals 28, No. 1, 173-181 (2006). Reviewer: Marcos Lizana (Merida) MSC: 34K20 92D25 34K60 PDFBibTeX XMLCite \textit{J. Xu} et al., Chaos Solitons Fractals 28, No. 1, 173--181 (2006; Zbl 1125.34343) Full Text: DOI
Jing, Zhujun; Yang, Jianping Bifurcation and chaos in discrete-time predator-prey system. (English) Zbl 1085.92045 Chaos Solitons Fractals 27, No. 1, 259-277 (2006). Reviewer: Josef Hainzl (Freiburg) MSC: 92D40 37N25 37D45 92D25 37C25 37G10 37E99 PDFBibTeX XMLCite \textit{Z. Jing} and \textit{J. Yang}, Chaos Solitons Fractals 27, No. 1, 259--277 (2006; Zbl 1085.92045) Full Text: DOI
Saha, Tapan; Bandyopadhyay, Malay Dynamical analysis of a plant-herbivore model: bifurcation and global stability. (English) Zbl 1097.34037 J. Appl. Math. Comput. 19, No. 1-2, 327-344 (2005). Reviewer: Jihong Dou (Xian) MSC: 34C60 34D23 34C23 34C05 PDFBibTeX XMLCite \textit{T. Saha} and \textit{M. Bandyopadhyay}, J. Appl. Math. Comput. 19, No. 1--2, 327--344 (2005; Zbl 1097.34037) Full Text: DOI
Liu, Yaping Geometric criteria for the nonexistence of cycles in Gause-type predator-prey systems. (English) Zbl 1077.34056 Proc. Am. Math. Soc. 133, No. 12, 3619-3626 (2005). MSC: 34D23 34C07 92D25 34C05 PDFBibTeX XMLCite \textit{Y. Liu}, Proc. Am. Math. Soc. 133, No. 12, 3619--3626 (2005; Zbl 1077.34056) Full Text: DOI
Kar, Tapan Kumar Stability analysis of a prey-predator model incorporating a prey refuge. (English) Zbl 1064.92045 Commun. Nonlinear Sci. Numer. Simul. 10, No. 6, 681-691 (2005). Reviewer: Igor Andrianov (Köln) MSC: 92D40 34D05 92D25 34C60 PDFBibTeX XMLCite \textit{T. K. Kar}, Commun. Nonlinear Sci. Numer. Simul. 10, No. 6, 681--691 (2005; Zbl 1064.92045) Full Text: DOI
Mukherjee, Debasis Persistence and bifurcation analysis on a predator-prey system of Holling type. (English) Zbl 1029.34040 M2AN, Math. Model. Numer. Anal. 37, No. 2, 339-344 (2003). Reviewer: Igor Andrianov (Köln) MSC: 34D23 34D45 92D25 34K20 PDFBibTeX XMLCite \textit{D. Mukherjee}, M2AN, Math. Model. Numer. Anal. 37, No. 2, 339--344 (2003; Zbl 1029.34040) Full Text: DOI Numdam EuDML
Fan, Meng; Wang, Ke Global existence of positive periodic solutions of periodic predator-prey systems with infinite delays. (English) Zbl 0995.34063 J. Math. Anal. Appl. 262, No. 1, 1-11 (2001). Reviewer: Yuan Rong (Beijing) MSC: 34K13 92D25 PDFBibTeX XMLCite \textit{M. Fan} and \textit{K. Wang}, J. Math. Anal. Appl. 262, No. 1, 1--11 (2001; Zbl 0995.34063) Full Text: DOI
Hwang, Tzy-Wei Uniqueness of the limit cycle for Gause-type predator-prey systems. (English) Zbl 0935.34023 J. Math. Anal. Appl. 238, No. 1, 179-195 (1999). Reviewer: David S.Boukal (České Budějovice) MSC: 34C05 92D25 PDFBibTeX XMLCite \textit{T.-W. Hwang}, J. Math. Anal. Appl. 238, No. 1, 179--195 (1999; Zbl 0935.34023) Full Text: DOI
Beretta, Edoardo; Kuang, Yang Global analysis in some delayed ratio-dependent predator-prey systems. (English) Zbl 0946.34061 Nonlinear Anal., Theory Methods Appl. 32, No. 3, 381-408 (1998). Reviewer: R.S.Dahiya (Ames) MSC: 34K12 92D25 PDFBibTeX XMLCite \textit{E. Beretta} and \textit{Y. Kuang}, Nonlinear Anal., Theory Methods Appl. 32, No. 3, 381--408 (1998; Zbl 0946.34061) Full Text: DOI
Pecelli, G. Prey-predator systems with delay: Hopf bifurcation and stable oscillations. (English) Zbl 0893.92029 Math. Comput. Modelling 25, No. 10, 77-98 (1997). MSC: 92D40 34K13 34K11 34C23 34K20 92D25 PDFBibTeX XMLCite \textit{G. Pecelli}, Math. Comput. Modelling 25, No. 10, 77--98 (1997; Zbl 0893.92029) Full Text: DOI
Sugie, Jitsuro; Kohno, Rie; Miyazaki, Rinko On a predator-prey system of Holling type. (English) Zbl 0868.34023 Proc. Am. Math. Soc. 125, No. 7, 2041-2050 (1997). MSC: 34C05 70K05 92D25 37G15 PDFBibTeX XMLCite \textit{J. Sugie} et al., Proc. Am. Math. Soc. 125, No. 7, 2041--2050 (1997; Zbl 0868.34023) Full Text: DOI
Gyllenberg, Mats; Hanski, Ilkka; Lindström, Torsten A predator-prey model with optimal suppression of reproduction in the prey. (English) Zbl 0851.92020 Math. Biosci. 134, No. 2, 119-152 (1996). MSC: 92D40 34D05 34C05 PDFBibTeX XMLCite \textit{M. Gyllenberg} et al., Math. Biosci. 134, No. 2, 119--152 (1996; Zbl 0851.92020) Full Text: DOI
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