Stability of predation models with time delay

References

• Lotka , A.J. 1925 . Elements of Physical Biology , Williams and Wilkins .
   Google Scholar
• Volterra , V. 1926 . Variazioni e fluttuazioni del numero d'individui in specie animali conviventi . Mein. Acad. Lincei , 2 : 31 – 113 .
   Google Scholar
• Wangersky , P.J. and Cunningham , W.J. 1957 . Cunningham: Time lag in prey-predator population models . Ecology , 38 : 136 – 139 .
   Google Scholar
• May , R.M. 1973 . Time-delay versus stability in population models with two and three trophic levels . Ecology , 54 : 315 – 325 .
   Web of Science ®Google Scholar
• May , R.M. 1973 . Stability and complexity in Model Ecosystems , Princeton University Press .
   Google Scholar
• Hastings , C. 1983 . Age dependent predation is not a simple process. 1 . Theoretical Population Biology , 23 : 347 – 362 .
   Web of Science ®Google Scholar
• Hastings , A. 1984 . Delays in recruitment at differenttrophic levels effects on stability . J. of Math.Biology , 21 : 35 – 44 .
   Google Scholar
• Gopalsamy , K. 1984 . Delayed responses and stability in two species systems . J. Austral. Math. Ser , 25 : 473 – 500 .
   Google Scholar
• Cooke , K.L. and Grossman , z. 1982 . Discrete delay,distributed delay and stability switches . J. of vMath. Analysis and Appl , 86 : 592 – 627 .
   Web of Science ®Google Scholar
• Neimark , J.I. 1948 . On the structure of the D-partitions of polynomials . Dokl. Akad. Nauk , 59
   Google Scholar
• Krall , A.M. Stability Techniques for Continuous Linear Systems , The Pennsylvania State University .
   Google Scholar
• Brauer , F. and Ma , Zhien . Stability of Stage-Structured Population Models, to appear .
   Google Scholar
• Gin , Yuanxun . 1960 . Unconditional Stability of System with Delay . Acta Math. Sinica , 10 : 125 – 141 .
   Google Scholar
• Bellman , R.E. and Cooke , K.L. 1963 . Differential difference equations , New York : Academic Press .
   Google Scholar