Communication in Biomathematical Sciences最新文献_第2页

Pongo Abelii Population Model with Changes in Carrying Capacity 考虑承载力变化的Pongo Abelii种群模型

Communication in Biomathematical Sciences Pub Date : 2023-07-01 DOI: 10.5614/cbms.2023.6.1.3

Karsten Maynard Jabriel, M. Jamaludin, F. Zai

{"title":"Pongo Abelii Population Model with Changes in Carrying Capacity","authors":"Karsten Maynard Jabriel, M. Jamaludin, F. Zai","doi":"10.5614/cbms.2023.6.1.3","DOIUrl":"https://doi.org/10.5614/cbms.2023.6.1.3","url":null,"abstract":"Pongo abelii is an endangered orangutan species. The reduction of Pongo abelii can be caused by the removal or loss of orangutans from the population and habitat loss. In general, research on population dynamics with changing carrying capacity is rarely done and it is simulated in this study. We adopted the Verhulst logistic model to model the population dynamics of Pongo abelii. This study aimed to see the effect of increasing the carrying capacity on the population of the endangered Pongo abelii species. From the results of this study, it is concluded that for areas other than Tripa Swamp, Siranggas/Batu Ardan, and East Batang Toru (Sarulla), the addition of carrying capacity is one of the effective options that is urgently needed to maintain a large population of orangutans. For the Tripa Swamp, Siranggas/Batu Ardan, and East Batang Toru (Sarulla) areas, suppressing the number of orangutans loss population is needed to maintain the population, which consists of poaching as trade, conflict killing, hunting/food, wounding, and fire. The results of this study can provide suggestions for tackling the declining population of Pongo abelii species by prohibiting the expansion of the species’ habitat","PeriodicalId":33129,"journal":{"name":"Communication in Biomathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44540775","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Qualitative Behavioral Analysis in Mosquito Dynamics Model with Wolbachia Wolbachia蚊子动力学模型的定性行为分析

Communication in Biomathematical Sciences Pub Date : 2023-01-25 DOI: 10.5614/cbms.2023.6.1.1

D. Suandi, F. Ilahi, Randi Ramdhani, E. S. Nugraha

{"title":"Qualitative Behavioral Analysis in Mosquito Dynamics Model with Wolbachia","authors":"D. Suandi, F. Ilahi, Randi Ramdhani, E. S. Nugraha","doi":"10.5614/cbms.2023.6.1.1","DOIUrl":"https://doi.org/10.5614/cbms.2023.6.1.1","url":null,"abstract":"The Aedes Aegypti mosquito is the primary vector that can transmit diseases to humans such as zika, dengue fever, chikungunya, and yellow fever. This mosquito species is controlled to reduce the frequency of its bites on humans. Several methods have been developed to control mosquito populations, ranging from natural insecticides to artificial ones. However, the impact of these insecticides leads to resistance. Wolbachiabacteria as a promising alternative in reducing the spread of viruses on humans due to free resistance. This work constructs a genetic population model in the form of differential equation system that describes mosquitopopulation dynamics by involving random mating between mosquito populations with and without Wolbachia bacteria. The stability of the equilibrium was analyzed locally here. Numerical simulations and sensitivity analyzes are presented to confirm the analytical results and investigate the effect of the parameters involved on the model. The results show that the success of the expansion of Wolbachia-infected mosquitoes depends on the fitness level of the mosquito species. The more Wolbachia mosquitoes are released into nature, the more possibility this mosquito expansion will be successful.","PeriodicalId":33129,"journal":{"name":"Communication in Biomathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49345028","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1

Dynamics of A Discrete-Time Ecogenetic Predator-Prey Model 离散时间生态遗传捕食者-被捕食模型的动力学

Communication in Biomathematical Sciences Pub Date : 2023-01-19 DOI: 10.5614/cbms.2022.5.2.5

D. Mukherjee

引用次数: 1

Mathematical Model and Dynamics Analysis of the Stingless Bee (Trigona sp.) in A Colony 无刺蜂（Trigona sp.）在群体中的数学模型和动力学分析

Communication in Biomathematical Sciences Pub Date : 2023-01-19 DOI: 10.5614/cbms.2022.5.2.4

F. Zai, G. E. Setyowisnu, A. R. Faradiyah, D. Suandi, Maya Rayungsari

{"title":"Mathematical Model and Dynamics Analysis of the Stingless Bee (Trigona sp.) in A Colony","authors":"F. Zai, G. E. Setyowisnu, A. R. Faradiyah, D. Suandi, Maya Rayungsari","doi":"10.5614/cbms.2022.5.2.4","DOIUrl":"https://doi.org/10.5614/cbms.2022.5.2.4","url":null,"abstract":"Trigona sp. is a stingless bee species that is widely distributed in tropical countries. It has castes in thecolony, i.e. queen, worker, and male bee. Despite its size, Trigona sp. can produce high-quality commoditiessuch as honey, propolis, and bee pollen. However, it is a vulnerable species since it’s pretty easy to be predatedby several predators and has a relatively short lifespan. In addition, there are still few mathematical studiesthat discuss the population dynamics of Trigona sp. Thus, in this study, we construct a mathematical modelof the Trigona sp. population in the form of a dynamical system. The model is a nine-dimensional non-lineardifferential equation that is constructed based on the stages in the bee population, namely the stages of eggs,larvae, and adult bees from each colony except the queen colony. Coexistence analysis, stability of equilibria, and also the death parameter sensitivity analysis are carried out in two scenarios. The first scenario is a situation where none of the workers die so that the food supply at the larval stage is sufficient. Meanwhile, the second scenario is a more common situation where some worker bees die from exhaustion resulting in an insufficient food supply for the larvae stage. Stable coexistence of all sub-structures and structural dependence on the foraging behavior of the workers are shown. All the results will be presented in numerical simulation. From the results of the coexistence and stability analysis, bee farmers can maintain food availability by increasing the number of workers in a colony, or providing food sources with high contains nectar and propolis at a relatively close distance to reduce the death of worker bees.","PeriodicalId":33129,"journal":{"name":"Communication in Biomathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44234071","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Fractional-Order Food Chain Model with Omnivore and Anti-Predator 具有杂食和反捕食者的分数阶食物链模型

Communication in Biomathematical Sciences Pub Date : 2023-01-03 DOI: 10.5614/cbms.2022.5.2.2

Adin Lazuardy Firdiansyah

引用次数: 0

Control Design for Dengue Fever Model with Disturbance 具有扰动的登革热模型控制设计

Communication in Biomathematical Sciences Pub Date : 2023-01-03 DOI: 10.5614/cbms.2022.5.2.3

Hanna Hilyati Aulia, R. Saragih, D. Handayani

{"title":"Control Design for Dengue Fever Model with Disturbance","authors":"Hanna Hilyati Aulia, R. Saragih, D. Handayani","doi":"10.5614/cbms.2022.5.2.3","DOIUrl":"https://doi.org/10.5614/cbms.2022.5.2.3","url":null,"abstract":"A mathematical model has become a useful tool to predict and control dengue fever dynamics. In reality, the dynamic of dengue fever transmission can be disturbed by uncertainty measurements, so it is needed to consider the disturbance in the model. Then, dengue fever model with disturbance is constructed by using a gain matrix consisting a covariance matrix and random vector. As dengue vaccine has been challenging to reduce the pandemic, a dengue model with vaccination as control is constructed. The aim is to propose a feedback controller that can reduces the infected human (H2 control problem) and the uncertainty measurements (H∞ control problem). The control u denotes the proportion of susceptible humans that one decides to vaccinate at time t. A random mass vaccination with wanning immunity is chosen because vaccine still on development process. A Design of mixed H2 - H∞ control with State-dependent Riccati Equation (SDRE) approach is applied. The SDRE has been an effective method to solve for synthesizing nonlinear feedback controller by transforming the system to an State-dependent coefficient (SDC) form. By comparing the mixed scheme with basic H∞, numerical simulation shows that the control application effectively decreases the number of infected humans and reduces the disturbance.","PeriodicalId":33129,"journal":{"name":"Communication in Biomathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46718253","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Study of A Delayed SIVA Within-Host Model of Dengue Virus Transmission 登革热病毒宿主内延迟SIVA传播模型的研究

Communication in Biomathematical Sciences Pub Date : 2023-01-03 DOI: 10.5614/cbms.2022.5.2.1

P. Muthu, Bikash Modak

{"title":"Study of A Delayed SIVA Within-Host Model of Dengue Virus Transmission","authors":"P. Muthu, Bikash Modak","doi":"10.5614/cbms.2022.5.2.1","DOIUrl":"https://doi.org/10.5614/cbms.2022.5.2.1","url":null,"abstract":"During the process of immune response to the infection caused by dengue virus, antibodies are generated by plasma cells which are produced by B-cells. In some cases, it is observed that there is a delay in the production of plasma cells from B-cells which causes a delay in the immune response. We propose a SIVA within-host model of the virus transmission with delayed immune response to articulate the dynamics of the cell and virus population. The stability analysis of different equilibrium states is also studied. The basic reproduction number (BRN) of the model is computed using next generation matrix (NGM) method. The local stability analysis is discussed using the method of linearisation. The stability conditions of the equilibrium states are validated using the Li´enard - Chipart criterion. Hopf bifurcation analysis is carried out as the system has time lag in the immune response. Three equilibrium states, namely, virus free equilibrium state, endemic equilibrium state with and without immune response, have been observed. It has been found that the virus free equilibrium state is locally asymptotically stable if BRN is less than or equal to 1. Additionally, the conditions for the stability of the endemic equilibrium points are derived and elaborated. Numerical simulations for different values of time delay parameter τ are presented and illustrated using graphs. A Hopf bifurcation is observed if the delay parameter τ crosses a threshold value and then the system becomes unstable with periodic solution. To determine the relative importance of the model parameters to the virus transmission and prevalence, sensitivity analysis of the parameters is illustrated using graphs. Due to the time lag in the immune response, an increase in the virus growth is observed in large quantity. As a result, the infection spreads more quickly within the host.","PeriodicalId":33129,"journal":{"name":"Communication in Biomathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44989612","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1

Application of the Fractional Calculus in Pharmacokinetic Compartmental Modeling 分数微积分在药代动力学分区建模中的应用

Communication in Biomathematical Sciences Pub Date : 2022-08-02 DOI: 10.5614/cbms.2022.5.1.4

T. Azizi

{"title":"Application of the Fractional Calculus in Pharmacokinetic Compartmental Modeling","authors":"T. Azizi","doi":"10.5614/cbms.2022.5.1.4","DOIUrl":"https://doi.org/10.5614/cbms.2022.5.1.4","url":null,"abstract":"In this study, we present the application of fractional calculus (FC) in biomedicine. We present three different integer order pharmacokinetic models which are widely used in cancer therapy with two and three compartments and we solve them numerically and analytically to demonstrate the absorption, distribution, metabolism, and excretion (ADME) of drug in different tissues. Since tumor cells interactions are systems with memory, the fractional-order framework is a better approach to model the cancer phenomena rather than ordinary and delay differential equations. Therefore, the nonstandard finite difference analysis or NSFD method following the Grunwald-Letinkov discretization may be applied to discretize the model and obtain the fractional-order form to describe the fractal processes of drug movement in body. It will be of great significance to implement a simple and efficient numerical method to solve these fractional-order models. Therefore, numerical methods using finite difference scheme has been carried out to derive the numerical solution of fractional-order two and tri-compartmental pharmacokinetic models for oral drug administration. This study shows that the fractional-order modeling extends the capabilities of the integer order model into the generalized domain of fractional calculus. In addition, the fractional-order modeling gives more power to control the dynamical behaviors of (ADME) process in different tissues because the order of fractional derivative may be used as a new control parameter to extract the variety of governing classes on the non local behaviors of a model, however, the integer order operator only deals with the local and integer order domain. As a matter of fact, NSFD may be used as an effective and very easy method to implement for this type application, and it provides a convenient framework for solving the proposed fractional-order models.","PeriodicalId":33129,"journal":{"name":"Communication in Biomathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42915573","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 2

Stochastic and Deterministic Dynamic Model of Dengue Transmission Based on Dengue Incidence Data and Climate Factors in Bandung City 基于万隆市登革热发病率和气候因素的登革热传播随机确定性动态模型

Communication in Biomathematical Sciences Pub Date : 2022-08-02 DOI: 10.5614/cbms.2022.5.1.5

La Pimpi, S. Indratno, J. W. Puspita, E. Cahyono

{"title":"Stochastic and Deterministic Dynamic Model of Dengue Transmission Based on Dengue Incidence Data and Climate Factors in Bandung City","authors":"La Pimpi, S. Indratno, J. W. Puspita, E. Cahyono","doi":"10.5614/cbms.2022.5.1.5","DOIUrl":"https://doi.org/10.5614/cbms.2022.5.1.5","url":null,"abstract":"Indonesia, a country in the tropics, is an area of distribution and an endemic area of dengue. The death rate caused by dengue is relatively high In Indonesia. Therefore, the health authority must prioritize preventing and controlling dengue disease for a long-term policy. This study proposes a method based on dynamic climate variables in estimating the proportion of infected human and infected mosquito. We focus on the dengue case in Bandung city, one of the big cities in Indonesia, which is classified as endemic dengue. We applied the Poisson regression method involving dynamic climate variables to estimate the average number of infected human population. We then use these estimation results as the basis for approximating the proportion of infected human and mosquito populations using a deterministic and stochastic model approach. Effective reproduction number is also obtained here. The simulation results show that the stochastic model looks better in capturing dengue incidence data than the deterministic model. Therefore, dengue transmission can be reduced by controlling the abundance of mosquito populations, considering climate conditions and the historical number of infected human.","PeriodicalId":33129,"journal":{"name":"Communication in Biomathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42829016","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 2

A Malaria Status Model: The Perspective of Mittag-Leffler Function with Stochastic Component 疟疾状态模型：基于随机分量的Mittag-Leffler函数

Communication in Biomathematical Sciences Pub Date : 2022-07-03 DOI: 10.5614/cbms.2022.5.1.3

E. Bonyah

引用次数: 2