scholarly journals Population prediction of purwanegara village, Indonesia using modified logistic model with migration factor

2018 ◽  
Vol 7 (3) ◽  
pp. 1962
Author(s):  
Diandra Chika Fransisca ◽  
Padosroha Marbun
Keyword(s):  
Population Growth ◽  
Equilibrium Point ◽  
Growth Model ◽  
Carrying Capacity ◽  
Logistic Model ◽  
Central Java ◽  
Migration Factor ◽  
Central Java Province ◽  
Population Prediction ◽  
Birth Death

Population growth model is a widely been used model to do an estimation and forecasting towards the population of peoples, animals, bac-teria and even in economics growth. Many studies have been carried out on population growth model concerning the factors of birth, death and carrying capacity in order to predict the number of population at certain area. From these studies there is only one study involved the constant value factor of migration as an input in the logistic model. Therefore contradicting with the above modified logistic model, in this study logistic model is modified by adding a migration factor as a function of population. This function takes into account the migration and the interaction between peoples that is limited to the carrying capacity of the environment. This model can be solved qualitatively using the analysis of equilibrium point and quantitatively using the separable variables method. This modified logistic model with migration factor has been applied in the population prediction of Purwanegara village in Central Java Province, Indonesia. Throughout the results, the modified logistic model with migration factor as a function of population gives a better result for population prediction of Purwanegara village in Central Java Province, Indonesia compared with logistic model.  

scholarly journals Psi-Caputo Logistic Population Growth Model

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Muath Awadalla ◽  
Yves Yannick Yameni Noupoue ◽  
Kinda Abu Asbeh
Keyword(s):  
Population Growth ◽  
Fractional Derivative ◽  
Carrying Capacity ◽  
Chinese Population ◽  
Logistic Model ◽  
Logistic Equation ◽  
Logistic Growth ◽  
Growth Equation ◽  
Uniqueness Of The Solution ◽  
Better Than

This article studies modeling of a population growth by logistic equation when the population carrying capacity K tends to infinity. Results are obtained using fractional calculus theories. A fractional derivative known as psi-Caputo plays a substantial role in the study. We proved existence and uniqueness of the solution to the problem using the psi-Caputo fractional derivative. The Chinese population, whose carrying capacity, K, tends to infinity, is used as evidence to prove that the proposed approach is appropriate and performs better than the usual logistic growth equation for a population with a large carrying capacity. A psi-Caputo logistic model with the kernel function x + 1 performed the best as it minimized the error rate to 3.20% with a fractional order of derivative α  = 1.6455.

scholarly journals Noise-Induced Transitions in a Population Growth Model Based on Size-Dependent Carrying Capacity

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Neeme Lumi ◽  
Ain Ainsaar ◽  
Romi Mankin
Keyword(s):  
Population Growth ◽  
Population Size ◽  
Growth Model ◽  
Carrying Capacity ◽  
Stochastic Dynamics ◽  
Exact Analytical Solution ◽  
Probability Distributions ◽  
Stationary Probability Distribution ◽  
Size Dependent ◽  
Stochastic Case

The stochastic dynamics of a population growth model with size-dependent carrying capacity is considered. The effect of a fluctuating environment on population growth is modeled as a multiplicative dichotomous noise. At intermediate values of population size the deterministic counterpart of the model behaves similarly to the Von Foerster model for human population, but at small and very large values of population size substantial differences occur. In the stochastic case, an exact analytical solution for the stationary probability distribution is found. It is established that variation of noise correlation time can cause noise-induced transitions between three different states of the system characterized by qualitatively different behaviors of the probability distributions of the population size. Also, it is shown that, in some regions of the system parameters, variation of the amplitude of environmental fluctuations can induce single unidirectional abrupt transitions of the mean population size.

And So It Grows: Using a Computer-Based Simulation of a Population Growth Model to Integrate Biology & Mathematics

2013 ◽  
Vol 75 (4) ◽  
pp. 274-279 ◽  
Author(s):  
Garrett M. Street ◽  
Timothy A. Laubach
Keyword(s):  
Population Dynamics ◽  
Population Growth ◽  
Growth Model ◽  
Population Biology ◽  
Logistic Model ◽  
Mathematics Students ◽  
Computer Based ◽  
And Mathematics ◽  
Inquiry Lesson

We provide a 5E structured-inquiry lesson so that students can learn more of the mathematics behind the logistic model of population biology. By using models and mathematics, students understand how population dynamics can be influenced by relatively simple changes in the environment.

Time-dependent solution of the logistic model for population growth in random environment

1980 ◽  
Vol 17 (04) ◽  
pp. 1083-1086
Author(s):  
Prajneshu
Keyword(s):  
Population Growth ◽  
Stationary Solution ◽  
Random Environment ◽  
Carrying Capacity ◽  
Logistic Model ◽  
Time Dependent ◽  
Kolmogorov Equation ◽  
Exact Time ◽  
Time Dependent Solution

The exact time-dependent solution as well as the stationary solution of the logistic model for population growth with varying carrying capacity is worked out in both the Stratonovich and Ito calculi by solving the forward Kolmogorov equation.

scholarly journals Analysis of Erosion Hazard at Gagakan Sub-Watershed, Blora District, Central Java Province, Indonesia

2017 ◽  
Vol 1 ◽  
pp. 85-89
Author(s):  
Diah Auliyani ◽  
Tyas Mutiara Basuki
Keyword(s):  
Information System ◽  
Soil Erosion ◽  
Carrying Capacity ◽  
Soil Loss ◽  
Erosion Hazard ◽  
Central Java ◽  
Hazard Level ◽  
Watershed Slope ◽  
Central Java Province ◽  
Soil Loss Equation

Availability of soil erosion data is crucial for recovering carrying capacity of a degraded watershed. This study aims to analyze the level of soil erosion hazard in Gagakan Sub-Watershed, located at the downstream of Solo Watershed. Slope steepness of this area vary from very steep at the upper part and flat at the downstream. The dominant land cover is teak forest which consists of young and old stands. The level of soil erosion hazard was calculated by USLE (Universal Soil Loss Equation) and then analyzed spatially using GIS (Geographic Information System). The degree of erosion hazard was classified into five classes, i.e very slight, slight, moderate, severe, and very severe. The results showed that erosion hazard level of Gagakan sub-watershed ranged from very slight to very severe. The dominant is very slight (69%), while the others classified as slight (11%), moderate (15%), severe (1%), and very severe (4%). The countermeasures of soil erosion should be focused on the area with severe and very severe level of erosion hazard.

scholarly journals Carrying capacity and food self-sufficiency of paddy field resources: NDVI analysis in Batang Regency, Central Java Province, Indonesia

2021 ◽  
Vol 4 (2) ◽  
pp. 245
Author(s):  
Ananto Aji ◽  
Edy Trihatmoko ◽  
Sigit Bayhu Iryanthony
Keyword(s):  
Carrying Capacity ◽  
Paddy Field ◽  
Agricultural Land ◽  
Jel Classification ◽  
Rice Production ◽  
Central Java ◽  
Self Sufficiency ◽  
Per Capita ◽  
Mapping Techniques ◽  
Central Java Province

Food self-sufficiency policy in Indonesia relies on the sustainability of productive land that meets the requirements for carrying capacity of agricultural land. But the fact is that in various regions, the existence of agricultural land resources is increasingly being degraded in terms of quantity and quality. This study aims to evaluate paddy field with NDVI analysis with extensive GIS calculations and integrated with the food self-sufficiency formulas. Monitoring of paddy field area using remote sensing and mapping techniques has been well recognized and efficient. The research was conducted in Batang Regency, Central Java Province, Indonesia, that annually produces 104,211ton rice on average. The results showed that the production of lowland rice is sufficient to meet the daily rice needs of 897.19 gr per capita. The regency also showed a surplus of rice production of more than 342 gr per capita above the daily needs, fulfilling the criteria of food self-sufficiency. Food self-sufficiency classification is associated with the carrying capacity analysis found ca. 4.179 (α>1), revealing that rice production can fulfil the needs of the population of Batang Regency.  JEL Classification 013; Q00; R11

Time-dependent solution of the logistic model for population growth in random environment

1980 ◽  
Vol 17 (4) ◽  
pp. 1083-1086 ◽  
Author(s):  
Prajneshu
Keyword(s):  
Population Growth ◽  
Stationary Solution ◽  
Random Environment ◽  
Carrying Capacity ◽  
Logistic Model ◽  
Time Dependent ◽  
Kolmogorov Equation ◽  
Exact Time ◽  
Time Dependent Solution

The exact time-dependent solution as well as the stationary solution of the logistic model for population growth with varying carrying capacity is worked out in both the Stratonovich and Ito calculi by solving the forward Kolmogorov equation.

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