Mathematical model for dynamics of the number of pelt products from the local population of mantchurian squirrels

Ашихмина, Е В; Frisman, E. Ya.; Skaletskaya, E.I.; Kulikov, A.N.

doi:10.1016/0304-3800(85)90040-7

Cited by 7 publications

(5 citation statements)

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“…В связи с этим изменение кормовых условий служит наиболее широко распространенной причиной колебания численности белки [3,6,9,10,13]. Неурожай кормов ведет к резкому уменьшению численности в следующем году [1,16], поскольку недостаток семян обусловливает истощение организма, снижение плодовитости, заболевания, откочевки животных в поисках хороших кормовых угодий и массовую гибель [3]. Вместе с тем на динамику численности белки оказывают влияние механизмы внутрипопуляционной регуляции, в частности саморегуляция [4,10].…”

Section: рис 1 данные учета численности белки на территории еврейской...unclassified

“…В частности на флуктуирующий характер динамики численности популяций белки и зайца-беляка обращали внимание многие исследователи [3-6, 9, 10, 12, 18]. Результаты изучения динамики численности белки показали соответствие колебаний ее численности и изменений урожая семян древесных пород [1,4,16]. Это указывает на синхронизацию популяционных циклов белки с колебаниями ее кормовой базы [16].…”

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Model Analysis of Demographic Processes in the Populations of Fur-Bearing Hunting Animals Inhabiting the Jewish Autonomous Region

Revutskaya,

Neverova

2024

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Among biological resources, hunting animals, including fur-bearing species, take a special place. The study of such populations dynamics is a crucial stage in fur harvesting planning and organizing. This work aims to describe and analyze by mathematical modeling methods the dynamics of fur-bearing animal populations inhabiting the Jewish Autonomous region. We consider the populations whose newborn individuals reach maturity by the next breeding season, for example, squirrel, white hare, Manchurian hare, raccoon dog, and weasel. The study is based on the discrete-time model of population dynamics with a simple stage structure. To take into account density-dependent regulation of population growth in the model, birth or survival rates of the immature class are represented by exponential functions of the total population size. To estimate the model parameters, we propose the use of data corresponding to the total population size. The obtained point estimates, based on this approach, are demonstrated to be within the range of biologically meaningful parameter values and exhibit the population dynamics similar to those observed in nature. Specifically, according to the model estimates, squirrel and hare populations are characterized by unstable dynamics with sharp annual fluctuations. In general, the proposed approach for parameter estimation allows for analyzing and modeling the age composition of the animal population, as well as determining demographic parameters that characterize the animal population dynamics based on the total population size data.

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Section: рис 1 данные учета численности белки на территории еврейской...unclassified

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Model Analysis of Demographic Processes in the Populations of Fur-Bearing Hunting Animals Inhabiting the Jewish Autonomous Region

Revutskaya,

Neverova

2024

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“…All other things being equal, this process can be described with an exponential function. This approach, in particular, was used successfully to describe the dependence of the increase in the birth rate of Manchurian squirrels with an increase in the yield of pine nuts (Ashichmina et al, 1985). Apparently, there are no adequate direct estimates of food abundance for the bank vole.…”

Section: Changing the Dynamic Modes In Populations: Influence Of Modimentioning

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Mathematical Modeling of Population Dynamics Based on Recurrent Equations: Results and Prospects. Part I

Frisman

Zhdanova

Кулаков

et al. 2021

Biol Bull Russ Acad Sci

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Approaches to modeling population dynamics using discrete-time models are described in this two-part review. The development of the scientific ideas of discrete time models, from the Malthus model to modern population models that take into account many factors affecting the structure and dynamics, is presented. The most important and interesting results of recurrent equation application to biological system analysis obtained by the authors are given. In the first part of this review, the population dynamic effects that result from density-dependent regulation of population, the age and sex structures, and the influence of external factors are considered.

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“…Для описания динамики изолированного фитопланктона предлагается использовать модель Рикера [Рикер, 1979], которая позволяет учесть влияние процессов саморегуляции на скорость роста популяции. Данная модель подробно изучена и широко используется при моделировании динамики популяций [Ашихмина и др., 1982, 2004Ashikhmina et al, 1985;Ласт и др., 2001;Фрисман и др., 2010;Pisarchik, Feudel, 2014;Жданова, Фрисман, 2016;Шлюфман и др., 2016, 2017Neverova et al, 2016Neverova et al, , 2018.…”

Section: динамика изолированного фитопланктонаunclassified

A plankton community: a zooplankton effect in phytoplankton dynamics

Neverova¹,

Zhdanova²,

Kolbina³

et al. 2019

CRM

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Mathematical model for dynamics of the number of pelt products from the local population of mantchurian squirrels

Cited by 7 publications

References 1 publication

Model Analysis of Demographic Processes in the Populations of Fur-Bearing Hunting Animals Inhabiting the Jewish Autonomous Region

Model Analysis of Demographic Processes in the Populations of Fur-Bearing Hunting Animals Inhabiting the Jewish Autonomous Region

Mathematical Modeling of Population Dynamics Based on Recurrent Equations: Results and Prospects. Part I

A plankton community: a zooplankton effect in phytoplankton dynamics

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