Modeling the effect of economic efforts to control population pressure and conserve forestry resources

The increase in human population poses a great menace for the forestry resources. Therefore, protection and conservation of forestry resources is a challenging subject across the globe. Keeping this point in view, we propose and analyze a nonlinear mathematical model to assess the effect of economic efforts applied to control population pressure as well as to increase forestry resources by plantation on the conservation of forestry resources. The condition when one should spend more money on plantation/reducing population pressure has been obtained. Numerical simulation is also performed to support analytical findings and identify the important parameters useful for the conservation of forestry resources

Modeling the effect of deforestation caused by human population pressure on wildlife species

The increase in human population has posed several problems for the ecosystem. One of these problems is the decrease in forestry resources, which leads to decline in forest area and thus threaten the survival of wildlife species as the intraspecific competition among the wildlife species increases. Moreover, these wildlife species can also be apprehended easily by poachers and smugglers. This affects the biodiversity across the globe. In this paper, we have proposed and analyzed a nonlinear mathematical model to see the effect of deforestation caused by population and its pressure on wildlife species. The analysis of proposed model reveals that, as the parameters in respect to the increase in population pressure increase, wildlife species decrease. To support analytical findings, we have done numerical simulation

Mathematical Modelling of Deforestation Due to Population Density and Industrialization

The focus of the study in this paper is to model deforestation due to population density and industrialization. To begin with, it is formulated into a mathematical modelling which is a system of non-linear differential equations. Then, analyze the stability of the system based on the Routh-Hurwitz stability criteria. Furthermore, a numerical simulation is performed to determine the shift of a system. The results of the analysis to shown that there are seven non-negative equilibrium points, which in general consist equilibrium point of disturbance-free and equilibrium points of disturbances. Equilibrium point TE7(x, y, z) analyzed to shown asymptotically stable conditions based on the Routh-Hurwitz stability criteria. The numerical simulation results show that if the stability conditions of a system have been met, the system movement always occurs around the equilibrium point

Modelling the influence of age structure on the forest biomass availability: a case study of Karbala forest, Western Mbadjini region of Comoros

In this work, a deterministic mathematical model for the Influence of human age structure on forest biomass availability, incorporating public enlightenment campaign parameter was developed and analyzed. The model consists of three autonomous differential equations for the forest biomass, Junior and Adult populations. The Zero, Junior and Adult free as well as the interior equilibrium states of the model were obtained and analyzed for stability. Numerical simulation of the various model parameters were obtained using mat lab software. The simulation gave the public enlightenment coverage level that would guarantee high forest biomass density and thus optimum yield.Keywords: Forest, biomass, Density, Stability, Equilibriu

A Mathematical Study for the Existence and Survival of Human Population in a Polluted Environment

Rapidly rising population and increasing urbanization have the potential for producing a high level of pollution. Pollutants have the ability to change the distributions of patterns of plants and animals. Some of the main pollutant categories are water pollutants, air pollution, pesticides, and radioactive waste. Most abundantly toxicants are produced by the chemical and medical industries. We used food crops that are produced by using pesticide and herbicides, etc. Due to the enormous variety of toxic substances are present in the atmosphere, it is challenging task to determine the potential ecological and human health risk. Keeping all these things in mind, in this paper, a non-linear mathematical model is developed to examine the existence and survival of the human population in a polluted environment. For this, we have assumed four variables the human population, population pressure, urbanization, and toxicants and considered that the human population propagates logistically, urbanization and toxicants propagate at the constant rate. The qualitative analysis of the system shows that the rapid increase in urbanization increases the toxicants in the environment which causes the growth of the human population decrease. Some numerical simulations are also made to examine the validity of the model

Resource management for Sustainable Development of Island Economies

What is the role of resource management in sustaining competitiveness for island economies such as the Republic of the Philippines and Hawaii? We review the history of thought on sustainable resource management and sustainable development and then turn to the threats to sustainability from the resource curse and the parallel curse of paradise. We show how the resource curse undermines the pursuit of sustainability and describe innovations in governance that can transform the curse into a blessing.Resource curse, sustainable development, Dutch disease

Mathematical Model on the Effects of Global Climate Change and Decreasing Forest Cover on Seasonal Rainfall

This study involves the study of the long-term behaviors of rainfall as it is affected by changes to forest area and the rise in global temperature. Global temperature and forest cover are considered annually while the amount of rainfall are considered seasonally to best capture the effects of severe weather hazards such as drought and puberty. A differential equation model was developed and verified using the mean global temperature annually, forest area, the daily amounts of rainfall. The rise in global temperature as well as the decline in forest area can be, as shown in the seminar, represented by logistic equations. Rainfall is, however, represented as a periodic function; hence, second order differential equation, of which the solution is periodic, is used to represent the rate of change in the amount of rainfall. In addition, by correlation analysis, the predator-prey terms of forest, global temperature and rainfall are presented in the models. DOI: 10.7176/MTM/9-1-0

Conservation of forest biomass and forest–dependent wildlife population: Uncertainty quantification of the model parameters

This research article was published by Heliyon 9 (2023)The ecosystem is confronted with numerous challenges as a consequence of the escalating human population and its corresponding activities. Among these challenges lies the degradation of forest biomass, which directly contributes to a reduction in forested areas and poses a significant threat to the survival of wildlife species through the intensification of intraspecific competition. In this paper, a non–linear mathematical model to study the conservation of forest and wildlife species that are reliant on forest ecosystem within the framework of human population dynamics and its related activities is developed and analysed. The study assessed the impacts of economic measures in the form of incentives on reducing population pressure on forest resources as well as the potential benefits of technological efforts to accelerate the rate of reforestation. Qualitative and quantitative analyses reveals that economic and technological factors have the potential to contribute to resource conservation efforts. However, these efforts can only be used to a limited extent, and contrary to that, the system will be destabilised. Sensitivity analysis identified the parameters pertaining to human population, human activities, economic measures, and technological efforts as the most influential factors in the mode

MODEL MATEMATIKA KERUSAKAN HUTAN DENGAN MEMPERHATIKAN FAKTOR INDUSTRI DAN KEBAKARAN

Kerusakan sumber daya hutan merupakan masalah lingkungan yang terjadi hampir diseluruh dunia termasuk Indonesia. Untuk melihat dinamika kerusakan hutan di Indonesia, kami melakukan penelitian dengan memperhatikan faktor kepadatan populasi, kegiatan industri, dan kebakaran hutan sebagai penyebab kerusakan hutan. Hal ini dilakukan dengan memodelkan dalam bentuk model matematika berupa sistem persamaan diferensial. Dari model tersebut diperoleh dua jenis titik tetap yaitu titik tetap bebas gangguan (E1) yang merupakan kondisi dimana hutan belum dipengaruhi oleh faktor apapun dan titik tetap ada gangguan (E2, E3 dan E4) yang merupakan kondisi dimana hutan telah dipengaruhi oleh kepadatan populasi, industrialisasi dan kebakaran hutan. Dari titik-titik tetap tersebut akan diketahui kestabilan setiap kondisi yang ada. Selanjutnya untuk melihat pengaruh dari faktor-faktor tersebut terhadap hutan Indonesia, dilakukan simulasi model dan diperoleh hasil bahwa kondisi hutan Indonesia sangatlah tergantung dari keempat faktor tersebut

The worlds of agriculture in Asia : agricultural and economic development

The agro-fundamentalists consider agriculture as the engine of growth while agro-pessimists argue that economic growth causes agricultural productivity. It is the main engine of growth in agriculture-based countries; less important in transforming economies; and plays the same role as other tradable sectors in urbanized countries (World Bank, 2008). This work revisits agriculture’s role in the development process within the experience of Asia where the majority of the population heavily depends on agriculture. Chapter 2 presents the results of causality tests between agriculture and economic growth in bivariate systems using the TYDL methodology. For some of agriculture-based Asia (Bhutan, Lao, Cambodia and Pakistan), there is evidence to support the agro-fundamentalists view. Mongolia’s economic growth drives agricultural growth. There is no causality running from either direction for Nepal, Vietnam and Bangladesh. No causal relationship between agriculture and economic growth is evident in the transforming economies of Sri Lanka, Indonesia, Philippines and Thailand. Indian and Chinese agriculture contribute to economic growth while the Malaysian economy shows evidence of bidirectional causality. Chapter 3 investigates the impact of agriculture on economic development in the context of an open economy, as measured by the accession to WTO and Trade Freedom Index, by employing an OLS method. The theory predicts that the openness of economies negatively affects the gains in the economic growth from improvement in agricultural productivity. However, this effect is not strong enough to cause a long-run negative relationship between economic growth and agricultural productivity. Further, the effect does not bring large differences in the gains from agricultural productivity between the open and closed economies in most of Asia. Chapter 4 examines the role of agriculture in the Korean economy as it transitioned from a predominantly agricultural to an urbanized economy by employing a VARX method. The impact of agriculture is significantly different between the transforming and urbanized stage with the former producing a greater impact. The effect of agriculture is also dependent on the country’s stages of economic growth, i.e., Korean agriculture contributes to economic growth in transforming Korea, but not in an agriculture-based and urbanized economy