Titlebook: Oscillation and Stability of Delay Models in Biology; Ravi P. Agarwal,Donal O‘Regan,Samir H. Saker Book 2014 Springer International Publis

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Ravi P. Agarwal,Donal O‘Regan,Samir H. SakerPresents recent research results on delay models in biology.Examines mathematical models for dynamics including the distribution and consumption of food.Analyzes a spectrum of autonomous and non-auton

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Oscillation of Delay Logistic Models,The qualitative study of mathematical models is important in applied mathematics, physics, meteorology, engineering, and population dynamics. In this chapter, we are concerned with the oscillation of solutions of different types of delay logistic models about their positive steady states.

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Stability of Delay Logistic Models,The stability of the equilibrium points is important in the study of mathematical models. The equilibrium point . is locally stable if the solution of the model .(.) approaches . as time increases for all the initial values, in some neighborhood of ..

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Logistic Models with Piecewise Arguments,Differential equation with piecewise continuous argument (or DEPCA) will be discussed in this chapter.

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Food-Limited Population Models,f the past history of the population, Gopalsamy, Kulenovic and Ladas introduced the delay in (.) and considered the equation . as the delay “food-limited” population model, where ., ., ., and . are positive constants.