Journal of Biological Systems最新文献

MODELING THE EFFECTS OF PESTS AND PESTICIDE ON CROP YIELDS IN A MULTIPLE CROPPING SYSTEM 害虫和杀虫剂对多作物系统中作物产量的影响建模

IF 1.3 4区数学

Journal of Biological Systems Pub Date : 2024-07-20 DOI: 10.1142/s0218339024500396

Akash Yadav, Ritesh Pandey, Navnit Jha, A. K. Misra

{"title":"MODELING THE EFFECTS OF PESTS AND PESTICIDE ON CROP YIELDS IN A MULTIPLE CROPPING SYSTEM","authors":"Akash Yadav, Ritesh Pandey, Navnit Jha, A. K. Misra","doi":"10.1142/s0218339024500396","DOIUrl":"https://doi.org/10.1142/s0218339024500396","url":null,"abstract":"Pest infestation poses a significant threat to agricultural crop yields, and to control it, farmers spray chemical pesticides. The persistent use of these chemical agents not only leads to pesticide residues within crops but also exerts collateral damage on the beneficial pest population. In this research work, we formulate a nonlinear mathematical model to assess the impacts of pesticide on crop yields within a multiple cropping system. Model analysis illustrates that crop consumption rates destabilize, and the spraying rate of pesticide stabilizes the system. Furthermore, we determine conditions for the global stability of the coexisting equilibrium and conduct a global sensitivity analysis to identify model parameters that significantly influence pest population density. Our findings emphasize that, for effective pest population control and enhanced crop yields, farmers should choose either pesticides with a high pest abatement rate or those with a higher pesticide uptake rate. Considering the spraying rate of pesticide as time-dependent, we also suggest an optimal control strategy to minimize the pest population and associated costs. We provide analytical results backed by numerical simulations implemented through the non-standard finite difference scheme to support our findings.","PeriodicalId":54872,"journal":{"name":"Journal of Biological Systems","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141819533","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

EFFECTS OF SYMBIOTIC BACTERIA IN PATHOGENIC INTERACTIONS: THE CASE OF BATRACHOCHYTRIUM DENDROBATIDIS AND PSEUDOMONAS SP. IN AMPHIBIAN POPULATIONS 共生细菌在病原体相互作用中的影响：两栖动物种群中的树枝蝙蝠疫病和假单胞菌的案例在两栖动物种群中的影响

IF 1.3 4区数学

Journal of Biological Systems Pub Date : 2024-07-20 DOI: 10.1142/s0218339024400060

Villavicencio Geiser, NELSON-LÓPEZ Ángela, DOMÍNGUEZ-ALEMÁN Itzel, HERNÁNDEZ-GÓMEZ Juan Carlos

{"title":"EFFECTS OF SYMBIOTIC BACTERIA IN PATHOGENIC INTERACTIONS: THE CASE OF BATRACHOCHYTRIUM DENDROBATIDIS AND PSEUDOMONAS SP. IN AMPHIBIAN POPULATIONS","authors":"Villavicencio Geiser, NELSON-LÓPEZ Ángela, DOMÍNGUEZ-ALEMÁN Itzel, HERNÁNDEZ-GÓMEZ Juan Carlos","doi":"10.1142/s0218339024400060","DOIUrl":"https://doi.org/10.1142/s0218339024400060","url":null,"abstract":"The decline in amphibian populations in recent decades may be linked to the occurrence of infectious diseases such as chytridiomycosis, which is caused by the chytrid fungus Batrachochytrium dendrobatidis (Bd). It is known that symbiotic bacteria protect the host due to their inhibitory nature. However, how the population dynamics of amphibians is affected by additional effects provided by symbiotic bacteria has not been analyzed in depth. In this paper, a model is proposed to describe the interaction among susceptible amphibians, susceptible amphibians with symbiotic bacteria and amphibians with chytrid fungus. When the modeling takes into account the additional reproductive benefits that the symbiont Pseudomonas sp. grants to the host, multiple endemic equilibrium points can exist if [Formula: see text] ([Formula: see text] is the basic reproduction number for Bd). In this scenario, the existence of a subcritical bifurcation at [Formula: see text], which can occur in two different disease-free equilibrium points, gives rise to complex dynamics and stability scenarios. Particularly, the analysis of the model shows that a sudden increase of fungus-infected amphibians can occur even when [Formula: see text] due to bistability phenomena. In this scenario, the existence of a subcritical bifurcation, which translates for the fungus into colonization even for values of [Formula: see text] less than one, represents an advantage for the chytrid fungus Batrachochytrium dendrobatidis since the pathogen should benefit from remaining as close as possible to an endemic equilibrium. To control the fungal infection, [Formula: see text] must be reduced to a value below one until the endemic equilibrium points disappear. Finally, we show that the amphibian population can reach a critical population level close to an extinction scenario when [Formula: see text] increases.","PeriodicalId":54872,"journal":{"name":"Journal of Biological Systems","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141819157","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A SIMPLE PROBLEM FOR SIMULATING DEMOGRAPHIC NOISE IN BIOLOGICAL DIFFERENTIAL EQUATION MODELS: A DISCREPANCY EFFECT 在生物微分方程模型中模拟人口噪声的一个简单问题：差异效应

IF 1.6 4区数学

Journal of Biological Systems Pub Date : 2024-05-30 DOI: 10.1142/s0218339024400023

ROBERTO MACRELLI, MARGHERITA CARLETTI, GIOVANNI STABILE

{"title":"A SIMPLE PROBLEM FOR SIMULATING DEMOGRAPHIC NOISE IN BIOLOGICAL DIFFERENTIAL EQUATION MODELS: A DISCREPANCY EFFECT","authors":"ROBERTO MACRELLI, MARGHERITA CARLETTI, GIOVANNI STABILE","doi":"10.1142/s0218339024400023","DOIUrl":"https://doi.org/10.1142/s0218339024400023","url":null,"abstract":"Dynamical systems described by deterministic differential equations represent idealized situations where random implications are ignored. In the context of biomathematical modeling, the introduction of random noise must be distinguished between environmental (or extrinsic) noise and demographic (or intrinsic) noise. In this last context it is assumed that the variation over time is due to demographic variation of two or more interacting populations, and not to fluctuations in the environment. The modeling and simulation of demographic noise as a stochastic process affecting single units of the populations involved in the model are well known in the literature and they result in discrete stochastic systems. When the population sizes are large, these discrete stochastic processes converge to continuous stochastic processes, giving rise to stochastic differential equations. If noise is ignored, these stochastic differential equations turn to ordinary differential equations. The inverse process, i.e., inferring the effects of demographic noise on a natural system described by a set of ordinary differential equations, is an issue addressed in a recent paper by Carletti M, Banerjee M, A backward technique for demographic noise in biological ordinary differential equation models, Mathematics7:1204, 2019. In this paper we show an example of how the technique to model and simulate demographic noise going backward from a deterministic continuous differential system to its underlying discrete stochastic process can provide a discrepancy effect, modifying the dynamics of the deterministic model.","PeriodicalId":54872,"journal":{"name":"Journal of Biological Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141254875","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Dynamics of a Tri-Trophic Level Model With Excess Food Nutrient Content and Intraguild Predation Structure 食物营养成分过剩和野内捕食结构的三营养级模型的动态变化

IF 1.6 4区数学

Journal of Biological Systems Pub Date : 2024-05-20 DOI: 10.1142/s0218339024500384

Shufei Gao, Sanling Yuan

引用次数: 0

Effects of Rhythmic Reproduction on the Survival of Cooperators 有节奏的繁殖对合作者生存的影响

IF 1.6 4区数学

Journal of Biological Systems Pub Date : 2024-05-20 DOI: 10.1142/s0218339024500372

Jun-Won Kang, Hyo-Jung Oh, Jae-Gyu Jeon, Chonghyuck Kim, Chan-Young Kim

引用次数: 0

MATHEMATICAL MODEL OF MEASLES IN TURKEY 土耳其麻疹数学模型

IF 1.6 4区数学

Journal of Biological Systems Pub Date : 2024-05-09 DOI: 10.1142/s0218339024500323

Osman Isik Rasit, N. Tuncer, M. Martcheva

引用次数: 0

STABILITY AND BIFURCATION OF A PREDATOR–PREY SYSTEM WITH MULTIPLE ANTI-PREDATOR BEHAVIORS 具有多重反捕食者行为的捕食者-猎物系统的稳定性和分岔

IF 1.6 4区数学

Journal of Biological Systems Pub Date : 2024-04-27 DOI: 10.1142/s021833902450030x

YUE XIA, XINHAO HUANG, FENGDE CHEN, LIJUAN CHEN

引用次数: 0

FINAL SIZE RELATIONS FOR SOME COMPARTMENTAL MODELS IN EPIDEMIOLOGY 流行病学中某些分区模型的最终大小关系

IF 1.6 4区数学

Journal of Biological Systems Pub Date : 2024-04-26 DOI: 10.1142/s0218339024500311

ABHIK MUKHERJEE, SOUVIK KUNDU, SOURAV KUMAR SASMAL

引用次数: 0

MODELING AND ANALYSIS OF OPTIMAL IMPLEMENTATION OF STERILE INSECT TECHNIQUE TO SUPPRESS MOSQUITO POPULATION 昆虫不育技术抑制蚊虫数量的最佳实施模型与分析

IF 1.6 4区数学

Journal of Biological Systems Pub Date : 2024-04-24 DOI: 10.1142/s0218339024500293

SUDDHYASHIL SARKAR, Joydeb Bhattacharyya, Samares Pal

{"title":"MODELING AND ANALYSIS OF OPTIMAL IMPLEMENTATION OF STERILE INSECT TECHNIQUE TO SUPPRESS MOSQUITO POPULATION","authors":"SUDDHYASHIL SARKAR, Joydeb Bhattacharyya, Samares Pal","doi":"10.1142/s0218339024500293","DOIUrl":"https://doi.org/10.1142/s0218339024500293","url":null,"abstract":"Sterile Insect Technique (SIT) is a biological insect (or pest) control tool aiming to reduce or eliminate wild insect (or pest) populations by releasing sterile insects (or pests). In this paper, we propose and study a stage- and sex-structured entomological model describing the dynamics of wild-type mosquito population and observed that the extinction equilibrium of the model is globally asymptotically stable when the basic offspring number is less than unity. However, when the basic offspring number is greater than unity, the extinction equilibrium becomes unstable, followed by the emergence of the stable interior equilibrium. We extend the model by introducing sterile male mosquitoes as a biological control agent against wild-type mosquito species. We have considered the Allee effect in the fertile female mosquito population due to the presence of non-egg-laying females in the mosquito population. While the wild mosquito-free equilibrium of the SIT model is always locally asymptotically stable, there exists either no interior equilibrium or a pair of interior equilibria, among which one is always unstable, and the other is always locally asymptotically stable. We observed that the wild mosquito population of the SIT system goes to extinction, followed by a saddle-node bifurcation when the supply rate of sterile males increases through some critical threshold value. As an alternative to the eradication policy, we formulated an optimal control problem to suppress the wild mosquito population, which suggests increasing the investment in awareness campaigns to suppress the mosquito population.","PeriodicalId":54872,"journal":{"name":"Journal of Biological Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140660008","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

STUDYING THE AGE OF ONSET AND DETECTION OF CHRONIC MYELOID LEUKEMIA USING A THREE-STAGE STOCHASTIC MODEL 利用三阶段随机模型研究慢性髓性白血病的发病年龄和检测方法

IF 1.6 4区数学

Journal of Biological Systems Pub Date : 2024-04-20 DOI: 10.1142/s0218339024500190

SURYADEEPTO NAG, ANANDA SHIKHARA BHAT, SIDDHARTHA P. CHAKRABARTY

引用次数: 0