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Dynamics and Stability of Systems Volume 6, 1991 - Issue 2
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Original Articles

On neutral delay logistic gause-type predator-prey systems

Yang Kuang Department of Mathematics, Arizona State University, Tempe, Arizona, 85287-1804, USA
Pages 173-189 | Published online: 21 Mar 2007

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Marco A. Gomez, Alexey V. Egorov & Sabine Mondié. (2019) Necessary stability conditions for neutral-type systems with multiple commensurate delays. International Journal of Control 92:5, pages 1155-1166.
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Articles from other publishers (27)

R. Basu & J. Lather. (2024) AN ITERATIVE METHOD FOR THE QUALITATIVE ANALYSIS OF NONLINEAR NEUTRAL DELAY DIFFERENTIAL EQUATIONS. Journal of Mathematical Sciences.
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菁 刘. (2021) Existence of Positive Periodic Solutions for a Class of Meta-Ecosystems. Pure Mathematics 11:02, pages 201-207.
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Tongtong Li & Wencai Zhao. (2020) Periodic Solution of a Neutral Delay Leslie Predator-Prey Model and the Effect of Random Perturbation on the Smith Growth Model. Complexity 2020, pages 1-15.
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Beomsoo Kim, Jaesung Kwon, Sungwoong Choi & Jeonghyeon Yang. (2019) Feedback Stabilization of First Order Neutral Delay Systems Using the Lambert W Function. Applied Sciences 9:17, pages 3539.
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Daifeng Duan, Qiuhua Fan & Yuxiao Guo. (2019) Hopf bifurcation analysis in a neutral predator–prey model with age structure in prey. Electronic Journal of Qualitative Theory of Differential Equations:30, pages 1-13.
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Marco A. Gomez, Carlos Cuvas, Sabine Mondie & Alexey V. Egorov. (2016) Scanning the space of parameters for stability regions of neutral type delay systems: A Lyapunov matrix approach. Scanning the space of parameters for stability regions of neutral type delay systems: A Lyapunov matrix approach.
Marco A. Gomez, Alexey V. Egorov & Sabine Mondié. (2016) Obtention of the functional of complete type for neutral type delay systems via a new Cauchy formula**Project CONACYT 180725. IFAC-PapersOnLine 49:10, pages 118-123.
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T.A. Burton & Bo Zhang. (2015) On the reduction of Krasnoselskii’s theorem to Schauder’s theorem. Applied Mathematics and Computation 250, pages 339-351.
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M. Mohr, M. V. Barbarossa & C. Kuttler. (2014) Predator-Prey Interactions, Age Structures and Delay Equations. Mathematical Modelling of Natural Phenomena 9:1, pages 92-107.
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T.A. Burton & I.K. Purnaras. (2013) A unification theory of Krasnoselskii for differential equations. Nonlinear Analysis: Theory, Methods & Applications 89, pages 121-133.
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Ben Niu & Weihua Jiang. (2013) Dynamics of a limit cycle oscillator with extended delay feedback. Discrete and Continuous Dynamical Systems - Series B 18:5, pages 1439-1458.
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Hossein Zivari-Piran & Wayne H. Enright. (2012) Accurate First-Order Sensitivity Analysis for Delay Differential Equations. SIAM Journal on Scientific Computing 34:5, pages A2704-A2717.
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Guirong Liu & Jurang Yan. (2011) Positive periodic solutions for a neutral delay ratio-dependent predator?prey model with a Holling type II functional response. Nonlinear Analysis: Real World Applications 12:6, pages 3252-3260.
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Guirong Liu & Jurang Yan. (2011) Existence of positive periodic solutions for neutral delay Gause-type predator–prey system. Applied Mathematical Modelling 35:12, pages 5741-5750.
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Guirong Liu, Sanhu Wang & Jurang Yan. (2011) Positive Periodic Solutions for Neutral Delay Ratio-Dependent Predator-Prey Model with Holling-Tanner Functional Response. International Journal of Mathematics and Mathematical Sciences 2011, pages 1-14.
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Bo Du & Xueping Hu. (2008) Periodic Solutions for a Kind of Duffing Type p-Laplacian Neutral Equation. Acta Applicandae Mathematicae 110:1, pages 167-179.
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Hossein ZivariPiran & Wayne H. Enright. (2009) An efficient unified approach for the numerical solution of delay differential equations. Numerical Algorithms 53:2-3, pages 397-417.
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Guirong Liu, Weiping Yan & Jurang Yan. (2009) Positive periodic solutions for a class of neutral delay Gause-type predator–prey system. Nonlinear Analysis: Theory, Methods & Applications 71:10, pages 4438-4447.
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Stephen A. Gourley & Yang Kuang. (2009) Dynamics of a neutral delay equation for an insect population with long larval and short adult phases. Journal of Differential Equations 246:12, pages 4653-4669.
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Nicola Guglielmi & Ernst Hairer. (2007) Computing breaking points in implicit delay differential equations. Advances in Computational Mathematics 29:3, pages 229-247.
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Nicola Guglielmi. (2006) Open issues in devising software for the numerical solution of implicit delay differential equations. Journal of Computational and Applied Mathematics 185:2, pages 261-277.
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T.A. Burton. (1998) Basic neutral integral equations of advanced type. Nonlinear Analysis: Theory, Methods & Applications 31:3-4, pages 295-310.
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W. H. Enright & H. Hayashi. 1997. Quality of Numerical Software. Quality of Numerical Software 179 193 .
H.I. Freedman & Yang Kuang. (1995) Some Global Qualitative Analyses of a Single Species Neutral Delay Differential Population Model. Rocky Mountain Journal of Mathematics 25:1.
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. 1993. Delay Differential Equations - With Applications in Population Dynamics. Delay Differential Equations - With Applications in Population Dynamics 353 373 .
Yang Kuang. (1992) Qualitative Analysis of One- or Two-Species Neutral Delay Population Models. SIAM Journal on Mathematical Analysis 23:1, pages 181-200.
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Y. Kuang. 1991. Differential Equations Models in Biology, Epidemiology and Ecology. Differential Equations Models in Biology, Epidemiology and Ecology 210 218 .

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