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Zbl 1143.92032
Seno, Hiromi
A paradox in discrete single species population dynamics with harvesting/thinning. (English)
[J] Math. Biosci. 214, No. 1-2, 63-69 (2008). ISSN 0025-5564

Summary: We analyze a general time-discrete mathematical model of single species population dynamics with the intraspecific density effect and the harvesting/thinning effect. We harvest a portion of the population at a moment in each year. We investigate the condition under which the harvesting/thinning causes an eventual increase of its population at the equilibrium, and show that such a paradoxical increase could occur for the discrete single species population dynamics with a large family of density effect functions. Some typical models are analyzed in detail according to the possibility of the paradox emergence. Our result implies that the contest competition would never cause the paradox, while the scramble competition would be likely to cause it.

MSC 2000:: *92D25 Population dynamics
39A11 Stability of difference equations
37N25 Dynamical systems in biology
92D40 Ecology

Keywords: resurgence; pest control; density effect

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