Cristiano, R.; Henao, M. M.; Pagano, D. J. Global stability of a Lotka-Volterra piecewise-smooth system with harvesting actions and two predators competing for one prey. (English) Zbl 1508.92201 J. Math. Anal. Appl. 522, No. 2, Article ID 126998, 21 p. (2023). MSC: 92D25 34D23 PDFBibTeX XMLCite \textit{R. Cristiano} et al., J. Math. Anal. Appl. 522, No. 2, Article ID 126998, 21 p. (2023; Zbl 1508.92201) Full Text: DOI
Kryzhevich, S.; Avrutin, V.; Söderbacka, G. Bistability in a one-dimensional model of a two-predators-one-prey population dynamics system. (English) Zbl 1496.37093 Lobachevskii J. Math. 42, No. 14, 3486-3496 (2021). MSC: 37N25 37G10 92D25 PDFBibTeX XMLCite \textit{S. Kryzhevich} et al., Lobachevskii J. Math. 42, No. 14, 3486--3496 (2021; Zbl 1496.37093) Full Text: DOI arXiv
Sun, Mengfeng; Chen, Guoting; Fu, Xinchu Uniform persistence and periodic solutions of generalized predator-prey type eco-epidemiological systems. (English) Zbl 1464.34071 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 2, Article ID 2150033, 33 p. (2021). MSC: 34C60 34C05 34C23 34D05 92D30 92D40 PDFBibTeX XMLCite \textit{M. Sun} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 2, Article ID 2150033, 33 p. (2021; Zbl 1464.34071) Full Text: DOI
Ferreira, Jocirei D.; Galvis, Alejandra M. Pulgarin; Rao, V. Sree Hari Dynamic models of competition systems involving generalized functional response. (English) Zbl 1414.92207 Differ. Equ. Dyn. Syst. 27, No. 1-3, 221-248 (2019). MSC: 92D25 34C23 PDFBibTeX XMLCite \textit{J. D. Ferreira} et al., Differ. Equ. Dyn. Syst. 27, No. 1--3, 221--248 (2019; Zbl 1414.92207) Full Text: DOI
Osipov, Alexandr V.; Söderbacka, Gunnar Poincaré map construction for some classic two predators-one prey systems. (English) Zbl 1377.34064 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 8, Article ID 1750116, 9 p. (2017). MSC: 34C60 92D25 34C25 37C05 PDFBibTeX XMLCite \textit{A. V. Osipov} and \textit{G. Söderbacka}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 8, Article ID 1750116, 9 p. (2017; Zbl 1377.34064) Full Text: DOI arXiv
Ma, Zhan-Ping; Yue, Jia-Long Competitive exclusion and coexistence of a delayed reaction-diffusion system modeling two predators competing for one prey. (English) Zbl 1443.92164 Comput. Math. Appl. 71, No. 9, 1799-1817 (2016). MSC: 92D25 34K18 PDFBibTeX XMLCite \textit{Z.-P. Ma} and \textit{J.-L. Yue}, Comput. Math. Appl. 71, No. 9, 1799--1817 (2016; Zbl 1443.92164) Full Text: DOI
Mukhopadhyay, B.; Bhattacharyya, R. Effects of harvesting and predator interference in a model of two-predators competing for a single prey. (English) Zbl 1452.92036 Appl. Math. Modelling 40, No. 4, 3264-3274 (2016). MSC: 92D25 34D05 34C05 PDFBibTeX XMLCite \textit{B. Mukhopadhyay} and \textit{R. Bhattacharyya}, Appl. Math. Modelling 40, No. 4, 3264--3274 (2016; Zbl 1452.92036) Full Text: DOI
Jana, Soovoojeet; Ghorai, Abhijit; Guria, Srabani; Kar, T. K. Global dynamics of a predator, weaker prey and stronger prey system. (English) Zbl 1328.37057 Appl. Math. Comput. 250, 235-248 (2015). MSC: 37N25 92D25 PDFBibTeX XMLCite \textit{S. Jana} et al., Appl. Math. Comput. 250, 235--248 (2015; Zbl 1328.37057) Full Text: DOI
Ghosh, Bapan; Kar, T. K.; Legovic, T. Relationship between exploitation, oscillation, MSY and extinction. (English) Zbl 1330.92105 Math. Biosci. 256, 1-9 (2014). MSC: 92D25 91B76 PDFBibTeX XMLCite \textit{B. Ghosh} et al., Math. Biosci. 256, 1--9 (2014; Zbl 1330.92105) Full Text: DOI
Wang, Xiaoyan; Yang, Junyuan; Zhang, Fengqin Dynamic of a TB-HIV coinfection epidemic model with latent age. (English) Zbl 1266.92058 J. Appl. Math. 2013, Article ID 429567, 13 p. (2013). MSC: 92C60 92D30 92-08 37N25 PDFBibTeX XMLCite \textit{X. Wang} et al., J. Appl. Math. 2013, Article ID 429567, 13 p. (2013; Zbl 1266.92058) Full Text: DOI
Hadeler, K. P. Quiescence, excitability, and heterogeneity in ecological models. (English) Zbl 1258.92037 J. Math. Biol. 66, No. 4-5, 649-684 (2013). MSC: 92D40 92D30 15A99 15B99 37N25 PDFBibTeX XMLCite \textit{K. P. Hadeler}, J. Math. Biol. 66, No. 4--5, 649--684 (2013; Zbl 1258.92037) Full Text: DOI
Angulo, Fabiola; Olivar, Gerard; Osorio, Gustavo A.; Escobar, Carlos M.; Ferreira, Jocirei D.; Redondo, Johan M. Bifurcations of non-smooth systems. (English) Zbl 1310.34017 Commun. Nonlinear Sci. Numer. Simul. 17, No. 12, 4683-4689 (2012). MSC: 34A36 34C23 PDFBibTeX XMLCite \textit{F. Angulo} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 12, 4683--4689 (2012; Zbl 1310.34017) Full Text: DOI
Duarte, Jorge; Januário, Cristina; Martins, Nuno; Sardanyés, Josep On chaos, transient chaos and ghosts in single population models with Allee effects. (English) Zbl 1254.92076 Nonlinear Anal., Real World Appl. 13, No. 4, 1647-1661 (2012). MSC: 92D25 PDFBibTeX XMLCite \textit{J. Duarte} et al., Nonlinear Anal., Real World Appl. 13, No. 4, 1647--1661 (2012; Zbl 1254.92076) Full Text: DOI
Zhou, Jun; Mu, Chunlai Coexistence of a diffusive predator-prey model with Holling type-II functional response and density dependent mortality. (English) Zbl 1254.35226 J. Math. Anal. Appl. 385, No. 2, 913-927 (2012). MSC: 35Q92 35K57 92D25 35B35 35B36 PDFBibTeX XMLCite \textit{J. Zhou} and \textit{C. Mu}, J. Math. Anal. Appl. 385, No. 2, 913--927 (2012; Zbl 1254.35226) Full Text: DOI
Zhou, Jun; Mu, Chunlai Coexistence of a three species predator-prey model with diffusion and density dependent mortality. (English) Zbl 1231.35276 Rend. Circ. Mat. Palermo (2) 60, No. 1-2, 215-227 (2011). MSC: 35Q92 35K51 35B35 35K57 92D25 PDFBibTeX XMLCite \textit{J. Zhou} and \textit{C. Mu}, Rend. Circ. Mat. Palermo (2) 60, No. 1--2, 215--227 (2011; Zbl 1231.35276) Full Text: DOI
Liu, Zijian; Zhong, Shouming Permanence and extinction analysis for a delayed periodic predator-prey system with Holling type II response function and diffusion. (English) Zbl 1191.92075 Appl. Math. Comput. 216, No. 10, 3002-3015 (2010). MSC: 92D40 34K13 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{S. Zhong}, Appl. Math. Comput. 216, No. 10, 3002--3015 (2010; Zbl 1191.92075) Full Text: DOI
Yang, Yu Hopf bifurcation in a two-competitor, one-prey system with time delay. (English) Zbl 1181.34090 Appl. Math. Comput. 214, No. 1, 228-235 (2009). Reviewer: Cheng-Hsiung Hsu (Chung-Li) MSC: 34K60 34K18 34K20 34K13 92D25 PDFBibTeX XMLCite \textit{Y. Yang}, Appl. Math. Comput. 214, No. 1, 228--235 (2009; Zbl 1181.34090) Full Text: DOI
Li, Bingtuan Competition in a turbidostat for an inhibitory nutrient. (English) Zbl 1140.92324 J. Biol. Dyn. 2, No. 2, 208-220 (2008). MSC: 92D40 93B52 37N25 34C05 PDFBibTeX XMLCite \textit{B. Li}, J. Biol. Dyn. 2, No. 2, 208--220 (2008; Zbl 1140.92324) Full Text: DOI
Zhang, Long; Teng, Zhidong Permanence for a delayed periodic predator-prey model with prey dispersal in multi-patches and predator density-independent. (English) Zbl 1147.34056 J. Math. Anal. Appl. 338, No. 1, 175-193 (2008). Reviewer: Bolis Basit (Clayton) MSC: 34K25 92D25 34K12 34K13 PDFBibTeX XMLCite \textit{L. Zhang} and \textit{Z. Teng}, J. Math. Anal. Appl. 338, No. 1, 175--193 (2008; Zbl 1147.34056) Full Text: DOI
Zhang, Long; Teng, Zhidong Boundedness and permanence in a class of periodic time-dependent predator-prey systems with prey dispersal and predator density-independence. (English) Zbl 1128.92054 Chaos Solitons Fractals 36, No. 3, 729-739 (2008). MSC: 92D40 34C25 92D25 34C60 PDFBibTeX XMLCite \textit{L. Zhang} and \textit{Z. Teng}, Chaos Solitons Fractals 36, No. 3, 729--739 (2008; Zbl 1128.92054) Full Text: DOI
Hilker, Frank M.; Malchow, Horst Strange periodic attractors in a prey-predator system with infected prey. (English) Zbl 1157.92324 Math. Popul. Stud. 13, No. 3, 119-134 (2006). MSC: 92D30 37N25 92D40 34C60 PDFBibTeX XMLCite \textit{F. M. Hilker} and \textit{H. Malchow}, Math. Popul. Stud. 13, No. 3, 119--134 (2006; Zbl 1157.92324) Full Text: DOI
Zhu, Lemin; Huang, Xuncheng Relative positions of limit cycles in the continuous culture vessel with variable yield. (English) Zbl 1217.34050 J. Math. Chem. 38, No. 2, 119-128 (2005). MSC: 34C05 92D25 PDFBibTeX XMLCite \textit{L. Zhu} and \textit{X. Huang}, J. Math. Chem. 38, No. 2, 119--128 (2005; Zbl 1217.34050) Full Text: DOI
Li, Bingtuan; Smith, Hal L. Periodic coexistence of four species competing for three essential resources. (English) Zbl 1018.92031 Math. Biosci. 184, No. 2, 115-135 (2003). MSC: 92D40 34C23 34C25 PDFBibTeX XMLCite \textit{B. Li} and \textit{H. L. Smith}, Math. Biosci. 184, No. 2, 115--135 (2003; Zbl 1018.92031) Full Text: DOI
Pilyugin, Sergei S.; Waltman, Paul Multiple limit cycles in the chemostat with variable yield. (English) Zbl 1012.92044 Math. Biosci. 182, No. 2, 151-166 (2003). MSC: 92D40 34C05 34D05 34D23 34C23 34C60 PDFBibTeX XMLCite \textit{S. S. Pilyugin} and \textit{P. Waltman}, Math. Biosci. 182, No. 2, 151--166 (2003; Zbl 1012.92044) Full Text: DOI
Liu, Weishi; Xiao, Dongmei; Yi, Yingfei Relaxation oscillations in a class of predator-prey systems. (English) Zbl 1094.34025 J. Differ. Equations 188, No. 1, 306-331 (2003). MSC: 34C26 34E15 92D25 34A26 34C60 PDFBibTeX XMLCite \textit{W. Liu} et al., J. Differ. Equations 188, No. 1, 306--331 (2003; Zbl 1094.34025) Full Text: DOI
Fu, Shengmao; Cui, Shangbin Persistence in a periodic competitor-competitor-mutualist diffusion system. (English) Zbl 0995.35008 J. Math. Anal. Appl. 263, No. 1, 234-245 (2001). Reviewer: Sebastian Aniţa (Iaşi) MSC: 35B40 35K57 35B10 92D40 PDFBibTeX XMLCite \textit{S. Fu} and \textit{S. Cui}, J. Math. Anal. Appl. 263, No. 1, 234--245 (2001; Zbl 0995.35008) Full Text: DOI
Chiu, Chuang-Hsiung Lyapunov functions for the global stability of competing predators. (English) Zbl 0917.92025 J. Math. Anal. Appl. 230, No. 1, 232-241 (1999). MSC: 92D40 34D05 34D20 92D25 PDFBibTeX XMLCite \textit{C.-H. Chiu}, J. Math. Anal. Appl. 230, No. 1, 232--241 (1999; Zbl 0917.92025) Full Text: DOI
Jansen, Vincent A. A.; Sigmund, Karl Shaken not stirred: On permanence in ecological communities. (English) Zbl 0963.92505 Theor. Popul. Biol. 54, No. 3, 195-201 (1998). MSC: 92D40 37N25 PDFBibTeX XMLCite \textit{V. A. A. Jansen} and \textit{K. Sigmund}, Theor. Popul. Biol. 54, No. 3, 195--201 (1998; Zbl 0963.92505) Full Text: DOI Link
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Rinaldi, S.; Muratori, S. Limit cycles in slow-fast forest-pest models. (English) Zbl 0739.92023 Theor. Popul. Biol. 41, No. 1, 26-43 (1992). MSC: 92D40 34D15 92D30 34C05 37-XX PDFBibTeX XMLCite \textit{S. Rinaldi} and \textit{S. Muratori}, Theor. Popul. Biol. 41, No. 1, 26--43 (1992; Zbl 0739.92023) Full Text: DOI
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Hofbauer, Josef An index theorem for dissipative semiflows. (English) Zbl 0728.58035 Rocky Mt. J. Math. 20, No. 4, 1017-1031 (1990). Reviewer: M.Baake (Tübingen) MSC: 37N99 92D40 58C30 PDFBibTeX XMLCite \textit{J. Hofbauer}, Rocky Mt. J. Math. 20, No. 4, 1017--1031 (1990; Zbl 0728.58035) Full Text: DOI
Freedman, H. I.; So, Joseph Wai-Hung; Waltman, Paul Predator influence on the growth of a population with three genotypes. III. Persistence and extinction. (English) Zbl 0634.92009 J. Math. Anal. Appl. 128, 287-304 (1987). Reviewer: O.Arino MSC: 92D25 34C05 34C25 92D10 PDFBibTeX XMLCite \textit{H. I. Freedman} et al., J. Math. Anal. Appl. 128, 287--304 (1987; Zbl 0634.92009) Full Text: DOI
Hsiao, Ling; de Mottoni, Piero Persistence in reacting-diffusing systems: Interaction of two predators and one prey. (English) Zbl 0631.92017 Nonlinear Anal., Theory Methods Appl. 11, 877-891 (1987). Reviewer: R.Sperb MSC: 92D25 35K57 35B40 92D40 PDFBibTeX XMLCite \textit{L. Hsiao} and \textit{P. de Mottoni}, Nonlinear Anal., Theory Methods Appl. 11, 877--891 (1987; Zbl 0631.92017) Full Text: DOI
Butler, G. J.; Wolkowicz, G. S. K. Exploitative competition in a chemostat for two complementary, and possibly inhibitory, resources. (English) Zbl 0609.92035 Math. Biosci. 83, 1-48 (1987). Reviewer: J.Tóth MSC: 92D40 34C25 92Cxx 34C05 PDFBibTeX XMLCite \textit{G. J. Butler} and \textit{G. S. K. Wolkowicz}, Math. Biosci. 83, 1--48 (1987; Zbl 0609.92035) Full Text: DOI
Gopalsamy, K. Convergence in a resource-based competition system. (English) Zbl 0613.92024 Bull. Math. Biol. 48, 681-699 (1986). Reviewer: G.Di Blasio MSC: 92D40 PDFBibTeX XMLCite \textit{K. Gopalsamy}, Bull. Math. Biol. 48, 681--699 (1986; Zbl 0613.92024) Full Text: DOI
Keener, James P. Oscillatory coexistence in a food chain model with competing predators. (English) Zbl 0566.92021 J. Math. Biol. 22, 123-135 (1985). Reviewer: T.C.Gard MSC: 92D25 PDFBibTeX XMLCite \textit{J. P. Keener}, J. Math. Biol. 22, 123--135 (1985; Zbl 0566.92021) Full Text: DOI
Baltzis, Basil C.; Fredrickson, A. G. Coexistence of two microbial populations competing for a renewable resource in a non-predator-prey system. (English) Zbl 0532.92027 Bull. Math. Biol. 46, 155-174 (1984). MSC: 92D25 65C20 PDFBibTeX XMLCite \textit{B. C. Baltzis} and \textit{A. G. Fredrickson}, Bull. Math. Biol. 46, 155--174 (1984; Zbl 0532.92027) Full Text: DOI
Butler, G. J.; Hsu, S. B.; Waltman, P. Coexistence of competing predators in a chemostat. (English) Zbl 0508.92019 J. Math. Biol. 17, 133-151 (1983). MSC: 92D25 34C05 34D99 PDFBibTeX XMLCite \textit{G. J. Butler} et al., J. Math. Biol. 17, 133--151 (1983; Zbl 0508.92019) Full Text: DOI