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Agarwal, R. P.; O’Regan, Donal; Saker, S. H.

Oscillation and global attractivity in a delay periodic host macroparasite model. (English) Zbl 1131.92039

Appl. Math. Comput. 196, No. 1, 340-352 (2008).
Summary: We consider a nonlinear delay host macroparasite model with periodic coefficients (with common period \(\omega \)). By means of a continuation theorem in coincidence degree theory, we establish a sufficient condition for the existence of a positive periodic solution \(\overline M (t)\) with strictly positive components. Also, we establish some sufficient conditions for oscillation of all positive solutions about the positive periodic solution \(\overline M (t)\) and establish a sufficient condition for the global attractivity of \(\overline M(t)\).

Cited in 3 Documents

MSC:

92C60 Medical epidemiology
34K13 Periodic solutions to functional-differential equations
34K60 Qualitative investigation and simulation of models involving functional-differential equations
46N60 Applications of functional analysis in biology and other sciences

Keywords:

delay differential equation; continuation theorem; periodic solution; global attractivity
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\textit{R. P. Agarwal} et al., Appl. Math. Comput. 196, No. 1, 340--352 (2008; Zbl 1131.92039)
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References:

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