2008
DOI: 10.1016/j.amc.2008.04.005
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Global attractivity of positive periodic solution for a Volterra model

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Cited by 30 publications
(13 citation statements)
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“…where a, b, c, d, r, δ, τ and σ are nonnegative almost periodic functions and m is a nonnegative constant. It is well known that Mawhin's continuation theorem of coincidence degree theory is an important method to investigate the existence of positive periodic solutions to some kinds of non-linear ecosystems (see [11][12][13][26][27][28][29][30][31][32][33][34]). However, it is difficult to use it to investigate the existence of positive almost periodic solutions of non-linear ecosystems.…”
Section: Example 1 Let Us Consider the Following Simple Population Mmentioning
confidence: 99%
“…where a, b, c, d, r, δ, τ and σ are nonnegative almost periodic functions and m is a nonnegative constant. It is well known that Mawhin's continuation theorem of coincidence degree theory is an important method to investigate the existence of positive periodic solutions to some kinds of non-linear ecosystems (see [11][12][13][26][27][28][29][30][31][32][33][34]). However, it is difficult to use it to investigate the existence of positive almost periodic solutions of non-linear ecosystems.…”
Section: Example 1 Let Us Consider the Following Simple Population Mmentioning
confidence: 99%
“…Compared with the predator-prey system without mutual interference, the predator-prey system with mutual interference contains more dynamic behavior. For example, Wang and Zhu [28] proposed the existence of periodic solutions with mutual interference as follows:…”
Section: Introductionmentioning
confidence: 99%
“…On the other hand, biological and environmental parameters cannot supposedly be constant throughout a time period as they are subject to fluctuate. Thus, the seasonal effects are considered as important selective forces on a system in a periodic environment . The strength of intraspecific competition also varies due to change in temperature, light intensity, and all other facts that are supposed to be changed with the season.…”
Section: Introductionmentioning
confidence: 99%
“…Thus, the seasonal effects are considered as important selective forces on a system in a periodic environment. [36][37][38][39][40][41] The strength of intraspecific competition also varies due to change in temperature, light intensity, and all other facts that are supposed to be changed with the season. The effect of change of seasonal variation in the dynamics of the food web system in the presence of intraspecific competition in top predators is still an unexplored area.…”
Section: Introductionmentioning
confidence: 99%