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In this paper, we investigate the extinction, permanence and dynamic complexity of the two-prey, one-predator system … with Ivlev's functional response and impulsive perturbation on the predator at fixed moments. Conditions for the extinction … and permanence of the system are established via the comparison theorem. Numerical simulations are carried out to explain …
Persistent link: https://www.econbiz.de/10005080947
boundedness, permanence, persistence, average persistence and extinction of the population is established. In particular, when … models degenerate into the almost periodic case, the equivalences of the permanence, persistence and average persistence of …
Persistent link: https://www.econbiz.de/10005080967
attractive. The conditions of permanence are established by the method of comparison involving multiple Liapunov functions and …
Persistent link: https://www.econbiz.de/10010870299
than some critical value, and a permanence condition is established via the method of comparison involving multiple …
Persistent link: https://www.econbiz.de/10005047425
Based on biological control strategy in pest management, we construct and investigate a pest-epidemic model with impulsive control, i.e., periodic spraying microbial pesticide and releasing infected pests at different fixed moments. By using Floquet theorem and comparison theorem, we prove that...
Persistent link: https://www.econbiz.de/10011050695
The effects of periodic forcing and impulsive perturbations on the predator–prey model with Beddington–DeAngelis functional response are investigated. We assume periodic variation in the intrinsic growth rate of the prey as well as periodic constant impulsive immigration of the predator. The...
Persistent link: https://www.econbiz.de/10005047391
Multiple sectors within U.S. crop industries - - -growers, elevators, handlers/shell- ers, processors, distributors, and consumers - - -are affected by aflatoxin contamination of commodities, and have the potential to control it using methods developed at both the pre- and postharvest levels....
Persistent link: https://www.econbiz.de/10009429567
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