Permanence of a predator-prey discrete system with Holling-IV functional response and distributed delays.
A predator-prey discrete-time model with Holling-IV functional response and distributed delays is investigated in this paper. By using the comparison theorem of the difference equation and some analysis technique, some sufficient conditions are obtained for the permanence of the discrete predator-prey system. Two examples are given to illustrate the feasibility of the obtained result.
a College of Science , Hunan Agricultural University , Changsha , Hunan 410128 , People's Republic of China.
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Zhang
a College of Science , Hunan Agricultural University , Changsha , Hunan 410128 , People's Republic of China.
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Wu
a College of Science , Hunan Agricultural University , Changsha , Hunan 410128 , People's Republic of China.
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T
Zhou
D000818:Animals; D005240:Feasibility Studies; D008962:Models, Theoretical; D011235:Predatory Behavior
39A22; 92B05; 92D25; discrete-time predator–prey system; distributed delays; non-monotonic functional response; permanence