%0 Journal Article %T Coupling in predator-prey dynamics: ratio-dependence %A R. Arditi %A L. R. Ginzburg %J J. Theor. Biol. %D 1989 %V 139 %F Arditi1989 %0 Journal Article %T Mutual interference between parasites or predators and its effect on searching efficiency %A J. R. Beddington %J J. Anim. Ecol. %D 1975 %V 44 %F Beddington1975 %0 Journal Article %T A model for tropic interaction %A D. L. DeAngelis %A R. A. Goldstein %A R. V. O’Neill %J Ecol. %D 1975 %V 56 %F DeAngelis1975 %0 Book %T Deterministic mathematical models in population ecology %A H. I. Freedman %D 1980 %I Monographs and Textbooks in Pure and Applied Mathematics, Marcel Dekker, Inc. %C New York %F Freedman1980 %0 Journal Article %T Uniform persistence in functional-differential equations %A H. I. Freedman %A S. G. Ruan %J J. Differential Equations %D 1995 %V 115 %F Freedman1995 %0 Journal Article %T On independence for non-additive measures, with a Fubini theorem %A P. Ghirardato %J J. Econom. Theory %D 1997 %V 73 %F Ghirardato1997 %0 Book %T Group selection in predator-prey communities %A M. E. Gilpin %D 1975 %I Princeton Univ. Press %C New Jersey %F Gilpin1975 %0 Book %T Evolutionary games and population dynamics %A J. Hofbauer %A K. Sigmund %D 1998 %I Cambridge University Press %C Cambridge %F Hofbauer1998 %0 Journal Article %T The functional response of predators to prey density and its role in mimicry and population regulation %A C. S. Holling %J Mem. Ent. Soc. Canada %D 1965 %V 46 %F Holling1965 %0 Journal Article %T Global stability for a class of predator-prey systems %A S. B. Hsu %A T. W. Huang %J SIAM J. Appl. Math. %D 1995 %V 55 %F Hsu1995 %0 Journal Article %T The paradox of the plankton %A G. E. Hutchinson %J Am. Nat. %D 1961 %V 95 %F Hutchinson 1961 %0 Journal Article %T Population dynamical behavior of Lotka-Volterra system under regime switching %A X.-Y. Li %A D.-Q. Jiang %A X.-R. Mao %J J. Comput. Appl. Math. %D 2009 %V 232 %F Li2009 %0 Journal Article %T Stability analysis of a reduced model of the lac operon under impulsive and switching control %A F.-F. Li %A J.-T. Sun %J Nonlinear Anal. Real World Appl. %D 2011 %V 12 %F Li2011 %0 Journal Article %T Basic problems in stability and design of switched systems %A D. Liberzon %A A. S. Morse %J IEEE Control Syst. %D 1999 %V 19 %F Liberzon1999 %0 Journal Article %T Modeling and analysis of a non-autonomous single-species model with impulsive and random perturbations %A Z.-J. Liu %A S.-L. Guo %A R.-H. Tan %A M. Liu %J Appl. Math. Model. %D 2016 %V 40 %F Liu2016 %0 Journal Article %T Asymptotic properties and simulations of a stochastic logistic model under regime switching %A M. Liu %A K. Wang %J Math. Comput. Modelling %D 2011 %V 54 %F Liu2011 %0 Journal Article %T On a stochastic logistic equation with impulsive perturbations %A M. Liu %A K. Wang %J Comput. Math. Appl. %D 2012 %V 63 %F Liu2012 %0 Journal Article %T Existence of positive periodic solutions for neutral delay Gause-type predator-prey system %A G.-R. Liu %A J.-R. Yan %J Appl. Math. Model. %D 2011 %V 35 %F Liu2011 %0 Book %T Stochastic differential equations with Markovian switching %A X.-R. Mao %A C.-G. Yuan %D 2006 %I Imperial College Press %C London %F Mao2006 %0 Book %T Stability and complexity in model ecosystems %A R. M. May %D 2001 %I Princeton University Press %C New Jersey %F May 2001 %0 Book %T Introduction to population biology %A D. Neal %D 2004 %I Cambridge University Press %C New York %F Neal 2004 %0 Book %T Modelling fluctuating populations %A R. M. Nisbet %A W. Gurney %D 1982 %I John Wiley and Sons, Chichester and New York, Reprinted in 2003 by Blackburn Press %C New Jersey %F Nisbet1982 %0 Journal Article %T Interspecific competition, predation and species diversity %A J. D. Parrish %A S. B. Saila %J J. Theor. Biol. %D 1970 %V 27 %F Parrish1970 %0 Book %T Introduction to population ecology %A L. L. Rockwood %D 2015 %I John Wiley & Sons %C India %F Rockwood2015 %0 Journal Article %T Global asymptotic stability of a diffusive predator-prey model with ratio-dependent functional response %A H.-B. Shi %A Y. Li %J Appl. Math. Comput. %D 2015 %V 250 %F Shi2015 %0 Journal Article %T Analysis and synthesis of switched linear control systems %A Z.-D. Sun %A S. S. Ge %J Automatica J. IFAC %D 2005 %V 41 %F Sun2005 %0 Book %T Global dynamical properties of Lotka-Volterra systems %A Y. Takeuchi %D 1996 %I World Scientific Publishing Co., Inc. %C River Edge, NJ %F Takeuchi1996 %0 Journal Article %T Evolution of predator-prey systems described by a Lotka-Volterra equation under random environment %A Y. Takeuchi %A N. H. Du %A N. T. Hieu %A K. Sato %A %J J. Math. Anal. Appl. %D 2006 %V 323 %F Takeuchi2006 %0 Journal Article %T Stochastic replicator dynamics subject to Markovian switching %A A. Vlasic %J J. Math. Anal. Appl. %D 2015 %V 427 %F Vlasic 2015 %0 Journal Article %T Stability criteria of a class of nonlinear impulsive switching systems with time-varying delays %A Q. Wang %A X.-Z. Liu %J J. Franklin Inst. %D 2012 %V 345 %F Wang2012 %0 Journal Article %T On finite-time stability for nonlinear impulsive switched systems %A Y.-J. Wang %A X.-M. Shi %A Z.-Q. Zuo %A M. Z. Q. Chen %A Y.-T. Shao %J Nonlinear Anal. Real World Appl. %D 2013 %V 14 %F Wang2013 %0 Journal Article %T State estimation and sliding-mode control of Markovian jump singular systems %A L.-G. Wu %A P. Shi %A H.-J. Gao %J IEEE Trans. Automat. Control %D 2010 %V 55 %F Wu2010 %0 Journal Article %T Dynamic of a stochastic predator-prey population %A A. Yagi %A T. V. Ton %J Appl. Math. Comput. %D 2011 %V 218 %F Yagi2011 %0 Journal Article %T Robust synchronization of singular complex switched networks with parametric uncertainties and unknown coupling topologies via impulsive control %A M. Yang %A Y.-W.Wang %A J.-W. Xiao %A Y.-H. Huang %J Commun. Nonlinear Sci. Numer. Simul. %D 2012 %V 17 %F Yang2012 %0 Journal Article %T The dynamical behavior of a predator-prey system with Gompertz growth function and impulsive dispersal of prey between two patches %A L. Zhang %A Z.-D. Teng %J Math. Methods Appl. Sci. %D 2016 %V 39 %F Zhang2016 %0 Journal Article %T Survival analysis for a periodic predatory-prey model with prey impulsively unilateral diffusion in two patches %A L. Zhang %A Z.-D. Teng %A Z.-J. Liu %J Appl. Math. Model. %D 2011 %V 35 %F Zhang2011 %0 Journal Article %T Conditions for persistence and ergodicity of a stochastic Lotka-Volterra predator-prey model with regime switching %A L. Zu %A D.-Q. Jiang %A D. O’Regan %J Commun. Nonlinear Sci. Numer. Simul. %D 2015 %V 29 %F Zu2015