Abstract and Applied Analysis最新文献

Multiplicity of Solutions for a Class of Kirchhoff–Poisson Type Problem 一类基尔霍夫-泊松问题的多重解

Abstract and Applied Analysis Pub Date : 2024-05-21 DOI: 10.1155/2024/7034904

Ziqi Deng, Xilin Dou

引用次数: 0

Frequently Hypercyclic Semigroup Generated by Some Partial Differential Equations with Delay Operator 一些带延迟算子的偏微分方程经常产生的超循环半群

Abstract and Applied Analysis Pub Date : 2024-05-17 DOI: 10.1155/2024/2432993

C. Hung

引用次数: 0

The Solvability and Explicit Solutions of Singular Integral–Differential Equations with Reflection 带反射的奇异积分微分方程的可解性与显解

Abstract and Applied Analysis Pub Date : 2024-05-16 DOI: 10.1155/2024/5523649

A. S. Nagdy, KH. M. Hashem, H. E. H. Ebrahim

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Efficient Numerical Method for Solving a Quadratic Riccati Differential Equation 求解二次 Riccati 微分方程的高效数值方法

Abstract and Applied Analysis Pub Date : 2024-03-22 DOI: 10.1155/2024/1433858

Wendafrash Seyid Yirga, Fasika Wondimu Gelu, Wondwosen Gebeyaw Melesse, G. Duressa

引用次数: 0

A Complex Dynamic of an Eco-Epidemiological Mathematical Model with Migration 生态流行病学数学模型与迁移的复杂动态关系

Abstract and Applied Analysis Pub Date : 2024-03-07 DOI: 10.1155/2024/3312472

Assane Savadogo, B. Sangaré, Wendkouni Ouedraogo

引用次数: 0

Mathematical Modeling of Coccidiosis Dynamics in Chickens with Some Control Strategies 鸡球虫病动态数学模型及一些控制策略

Abstract and Applied Analysis Pub Date : 2024-02-05 DOI: 10.1155/2024/1072681

Yustina A. Liana, Mary C. Swai

{"title":"Mathematical Modeling of Coccidiosis Dynamics in Chickens with Some Control Strategies","authors":"Yustina A. Liana, Mary C. Swai","doi":"10.1155/2024/1072681","DOIUrl":"https://doi.org/10.1155/2024/1072681","url":null,"abstract":"Coccidiosis is an infectious disease caused by the Eimeria species. The species can infect a bird’s digestive system, severely slow down its growth, and is a serious economic burden for chickens. A mathematical model for the transmission dynamics of coccidiosis disease in chickens in the presence of control interventions has been formulated and analyzed to gain insights into the dynamics of the disease in the population. Three control interventions, namely vaccination, sanitation, and treatment, are implemented. The study intends to assess the effects of these control interventions in coccidiosis transmission dynamics. Using the theory of differential equations, the invariant set of the model was derived, and the model’s solution was found to be mathematically and biologically significant. Analytical methods are employed to establish equilibrium solutions and investigate the stability of the model system’s equilibria, while numerical simulations illustrate the analytical results. The effective reproduction number is obtained using the next-generation matrix method, and the local stability of the equilibria of the model is established. The disease-free equilibrium is proved to be locally stable when the effective reproduction number is less than unity. Also, the nature of the bifurcation and its implications for disease prevention are investigated through the application of the center manifold theory. On the other hand, sensitivity analysis is carried out to investigate the parameters that impact the transmission of coccidiosis disease using the normalized forward sensitivity index. The parameters that have a greater influence on the effective reproduction number should be targeted for control purposes to lessen the spread of disease. Furthermore, numerical simulation is performed to investigate the contribution of each control intervention.","PeriodicalId":7061,"journal":{"name":"Abstract and Applied Analysis","volume":"9 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139805126","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

Mathematical Modeling of Coccidiosis Dynamics in Chickens with Some Control Strategies 鸡球虫病动态数学模型及一些控制策略

Abstract and Applied Analysis Pub Date : 2024-02-05 DOI: 10.1155/2024/1072681

Yustina A. Liana, Mary C. Swai

{"title":"Mathematical Modeling of Coccidiosis Dynamics in Chickens with Some Control Strategies","authors":"Yustina A. Liana, Mary C. Swai","doi":"10.1155/2024/1072681","DOIUrl":"https://doi.org/10.1155/2024/1072681","url":null,"abstract":"Coccidiosis is an infectious disease caused by the Eimeria species. The species can infect a bird’s digestive system, severely slow down its growth, and is a serious economic burden for chickens. A mathematical model for the transmission dynamics of coccidiosis disease in chickens in the presence of control interventions has been formulated and analyzed to gain insights into the dynamics of the disease in the population. Three control interventions, namely vaccination, sanitation, and treatment, are implemented. The study intends to assess the effects of these control interventions in coccidiosis transmission dynamics. Using the theory of differential equations, the invariant set of the model was derived, and the model’s solution was found to be mathematically and biologically significant. Analytical methods are employed to establish equilibrium solutions and investigate the stability of the model system’s equilibria, while numerical simulations illustrate the analytical results. The effective reproduction number is obtained using the next-generation matrix method, and the local stability of the equilibria of the model is established. The disease-free equilibrium is proved to be locally stable when the effective reproduction number is less than unity. Also, the nature of the bifurcation and its implications for disease prevention are investigated through the application of the center manifold theory. On the other hand, sensitivity analysis is carried out to investigate the parameters that impact the transmission of coccidiosis disease using the normalized forward sensitivity index. The parameters that have a greater influence on the effective reproduction number should be targeted for control purposes to lessen the spread of disease. Furthermore, numerical simulation is performed to investigate the contribution of each control intervention.","PeriodicalId":7061,"journal":{"name":"Abstract and Applied Analysis","volume":"23 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139865286","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

Oscillation of Fourth-Order Nonlinear Semi-Canonical Neutral Difference Equations via Canonical Transformations 通过典型变换实现四阶非线性半典型中性差分方程的振荡

Abstract and Applied Analysis Pub Date : 2024-01-29 DOI: 10.1155/2024/6682607

P. Ganesan, G. Palani, John R. Graef, E. Thandapani

引用次数: 0

Generalized Enriched Nonexpansive Mappings and Their Fixed Point Theorems 广义富集非展开映射及其定点定理

Abstract and Applied Analysis Pub Date : 2023-12-02 DOI: 10.1155/2023/5572893

Rahul Shukla, Rekha Panicker

引用次数: 0

Control of the Cauchy System for an Elliptic Operator: The Controllability Method 椭圆算子考奇系统的控制：可控性方法

Abstract and Applied Analysis Pub Date : 2023-12-01 DOI: 10.1155/2023/2503169

Bylli André B. Guel

{"title":"Control of the Cauchy System for an Elliptic Operator: The Controllability Method","authors":"Bylli André B. Guel","doi":"10.1155/2023/2503169","DOIUrl":"https://doi.org/10.1155/2023/2503169","url":null,"abstract":"In this paper, we are dealing with the ill-posed Cauchy problem for an elliptic operator. This is a follow-up to a previous paper on the same subject. Indeed, in an earlier publication, we introduced a regularization method, called the controllability method, which allowed us to propose, on the one hand, a characterization of the existence of a regular solution to the ill-posed Cauchy problem. On the other hand, we have also succeeded in proposing, via a strong singular optimality system, a characterization of the optimal solution to the considered control problem, and this, without resorting to the Slater-type assumption, an assumption to which many analyses had to resort. On occasion, we have dealt with the control problem, with state boundary observation, the problem initially analyzed by J. L. Lions. The proposed point of view, consisting of the interpretation of the Cauchy system as a system of two inverse problems, then called naturally for conjectures in favor of which the present manuscript wants to constitute an argument. Indeed, we conjectured, in view of the first results obtained, that the proposed method could be improved from the point of view of the initial interpretation that we had made of the problem. In this sense, we analyze here two other variants (observation of the flow, then distributed observation) of the problem, the results of which confirm the intuition announced in the previous publication mentioned above. Those results, it seems to us, are of significant relevance in the analysis of the controllability method previously introduced.","PeriodicalId":7061,"journal":{"name":"Abstract and Applied Analysis","volume":" 10","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138618816","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