Conference publications

Abstracts

XIV conference

Coexistence of Attractors as a Result of Biological Invasion. Mathematical Modeling of the Syamozero Lake Community

Gonik М.М., Medvinsky A.B., Кriksunov Е.А.¹, Burmensky V.A.¹, Bobyrev А.Е.², Маlchow H.³, Li B.-L.⁴, Sterligova O.P.⁵

Institute for Theoretical and Experimental Biophysics RAS, Russia, 142290, Pushchino, Moscow Region, Institutskya str. 3, phone.: (4967)739157, email: medvinsky@iteb.ru, mgmaria@yandex.ru

¹Faculty of Biology, the Lomonosov State University of Moscow, Russia, 119992, Moscow, GSP-2, Leninskie gory, MSU, Faculty of Biology, phone: (495)939-36-57

²The Severtsov Institute of Ecological and Evolutionary Problems RAS Russia, 119071, Moscow, V-71, Leninsky prospect 33

³3 Institute of Environmental Systems Research, University of Osnabrueck, Germany, 49069, Osnabrueck, Germany

⁴4University of California, USA, California, 92507, Riverside.

⁵5Institute of Biology KSC RAS Russia, 185610, Karelia, Petrozavodsk, Pushkinskaya str. 11

1 pp.

In this work we develop a mathematical model of the prey-predator dynamics in a spatially heterogeneous environment, the prototype of which is the fish community of the Syamozero lake (Karelia). The community dynamics under invasion of an intermediate predator is investigated. We demonstrate the invasion of an alien species can lead to significant modifications of the fish community dynamics. Chaotic fluctuations of the fish abundance can arise. The phenomenon of attractors coexistence is a matter of special interest. We show that the types of coexisting attractors are as follows: chaotic fish density oscillations, non-chaotic fish density oscillations, and a stationary fish density. The “choice” of the attractor depends on the initial invader density. Also, we show that the biological invasion can occur only under the absence of the competition between the juvenile invader (the intermediate predator) and the population of the non-predatory fish (prey) for the shared nutrient resource.