Permanence of a Discrete Model of Mutualism with Infinite Deviating Arguments
We propose a discrete model of mutualism with infinite deviating arguments, that is 𝑥1(𝑛+1)=𝑥1(𝑛)exp{𝑟1(𝑛)[(𝐾1(𝑛)+𝛼1∑(𝑛)∞𝑠=0𝐽2(𝑠)𝑥2∑(𝑛−𝑠))/(1+∞𝑠=0𝐽2(𝑠)𝑥2(𝑛−𝑠))−𝑥1(𝑛−𝜎1(𝑛))]},𝑥2𝑥(𝑛+1)=2(𝑛)exp{𝑟2(𝑛)[(𝐾2(𝑛)+𝛼2∑(𝑛)∞𝑠=0𝐽1(𝑠)𝑥1∑(𝑛−𝑠))/(1+∞𝑠=0𝐽1(𝑠)𝑥1(𝑛−𝑠))−𝑥2(𝑛−𝜎2(𝑛))]}. By some Lemmas, sufficient conditi...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2010/931798 |
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