Title :
Oscillation in a partial population equation with diffusion and delay
Author_Institution :
Inst. of Appl. Math., Chongqing Univ. of Posts & Telecommun., Chongqing
Abstract :
By using upper-solution and lower-solution method of partial functional differential equations and oscillation theory of functional differential equation, the oscillation of a population equation with diffusion and delay was studied and a sufficient condition for all positive solution of the equation to oscillate about the positive equilibrium was obtained. Some known results are extended. Finally, a model arising from ecology is given to illustrate the obtained results.
Keywords :
delays; diffusion; ecology; oscillations; partial differential equations; delay; diffusion; oscillation; partial functional differential equations; partial population equation; Biological system modeling; Delay; Differential equations; Environmental factors; Mathematics; Partial differential equations; Sufficient conditions; Delay; Diffusion; Oscillation; Population equation; Upper-solution and lower- solution;
Conference_Titel :
Control Conference, 2008. CCC 2008. 27th Chinese
Conference_Location :
Kunming
Print_ISBN :
978-7-900719-70-6
Electronic_ISBN :
978-7-900719-70-6
DOI :
10.1109/CHICC.2008.4604937
