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Global attractivity of a higher order nonlinear difference equation with unimodal terms

Almaslokh Abdulaziz, Qian Chuanxi

Opuscula Mathematica

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2023

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Vol. 43, no. 2

131--143

EN

In the present paper, we study the asymptotic behavior of the following higher order nonlinear difference equation with unimodal terms x(n + 1) = ax(n) + bx(n)g(x(n)) + cx(n − k)g(x(n − k)), n = 0, 1, . . . , where a, b and c are constants with 0 < a < 1, 0 ≤ b < 1, 0 ≤ c < 1 and a + b + c = 1, g ∈ C[[0,∞), [0,∞)] is decreasing, and k is a positive integer. We obtain some new sufficient conditions for the global attractivity of positive solutions of the equation. Applications to some population models are also given.

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Zintegrowana opieka zdrowotna. Zarys problematyki

Hermanowski T., Rutkowski J.

Zeszyty Naukowe. Organizacja i Zarządzanie / Politechnika Śląska

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2015

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z. 83

225-233

PL

Opieka zintegrowana jest jedną z najistotniejszych koncepcji związanych z zarządzaniem i organizacją systemów ochrony zdrowia. Według tej koncepcji podniesienie jakości i racjonalizację kosztów usług medycznych można osiągnąć przez koordynację procesu świadczenia usług oraz współdziałanie pomiędzy jednostkami ochrony zdrowia. W nowych modelach opieki zintegrowanej uwypukla się również rolę współpracy pomiędzy opiekami zdrowotną a socjalną. Artykuł ten zarysowuje mechanizmy integracji oraz wytyczne WHO w zakresie opieki zintegrowanej.

EN

Integrated care is one of the most important concepts related to management and organization of healthcare systems. According to this concept, improvement in the quality and rationalization of costs of medical services can be achieved through coordination of the provision of care and a cooperation between health care units. The role of relationship between health and social care is being increasingly highlighted. This article outlines the mechanisms of integration and the WHO guidelines in the field of integrated care.

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Parameterisation of a population model for Acartia spp. in the southern Baltic Sea. Part 2. Egg production

Dzierzbicka-Głowacka L., Lemieszek A., Żmijewska M.I.

Oceanologia

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2009

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No. 51 (2)

185-201

EN

The paper describes the modelling of egg production in Acartia spp. under changing environmental conditions in the southern Baltic Sea (Gdańsk Deep). The hypothesis (Sekiguchi et al. 1980) that the food-saturated rate of egg matter production is equivalent to specific growth rate of copepods is applied. The average number of eggs produced per day by one Acartia female is obtained as a function of growth rate, i.e. by multiplying exp gN3-1 from the growth rate of the nauplius stage equation by Wfemale / Wegg. The copepod model, reduced to a zero-dimensional population model calibrated for Acartia spp. under the environmental conditions typical of the southern Baltic Sea, was used to determine the effects of temperature and food concentration on the growth rate of each of the model stages (see Part 1 - Dzierzbicka-Głowacka et al. 2009 - this issue). In this part, egg production as a function of the above parameters is evaluated. The rate of reproduction during the seasons in the upper layer of the Gdańsk Deep is also determined.

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Parameterisation of a population model for Acartia spp. in the southern Baltic Sea. Part 1. Development time

Dzierzbicka-Głowacka L., Lemieszek A., Żmijewska M.I.

Oceanologia

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2009

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No. 51 (2)

165-184

EN

The copepod model (see Dzierzbicka-Głowacka 2005b), reduced to a zero-dimensional population model (Fennel 2001, Stegert et al. 2007), is calibrated for Acartia spp. under the environmental conditions typical of the southern Baltic Sea. Most of the coefficients used in the model are taken from the literature, containing values from various published studies and parameters derived for similar species. The parameters for growth are presented in Part 1; those for population dynamics are given in Part 2. Ingestion rates, which are dependent on developmental stage, food supply, temperature and weight of the animals, are estimated for Acartia bifilosa at 15°C from the Gdańsk Deep after the experimental data of Ciszewski & Witek (1977). In Part 1 the model presents the change in mean individual mass in successive stages. Quantitative formulae are obtained describing the effects of temperature and food concentration on the development time of Acartia spp. for each of the model stage groups. The generation time during the seasons in the upper layer of the Gdańsk Deep is also determined. The simulations computed here are similar to the experimental results. Part 2 (Dzierzbicka-Głowacka et al. 2009 - this issue) will evaluate egg production as a function of the above-mentioned parameters, temperature and food availability.