Pub Date : 2023-10-11DOI: 10.1142/s0218339024500025
Abhinav Tandon, Vaishnudebi Dutta
{"title":"Invertebrates and cattle population dynamics in a grassland environment: a nonlinear inter - specific competition model","authors":"Abhinav Tandon, Vaishnudebi Dutta","doi":"10.1142/s0218339024500025","DOIUrl":"https://doi.org/10.1142/s0218339024500025","url":null,"abstract":"","PeriodicalId":54872,"journal":{"name":"Journal of Biological Systems","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136210734","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}
Pub Date : 2023-10-11DOI: 10.1142/s0218339024500037
Si Wang, Hui Cao, Tingting Zhao
{"title":"Study on Dynamic Behavior of Tuberculosis Model with Gender and Age-Structure","authors":"Si Wang, Hui Cao, Tingting Zhao","doi":"10.1142/s0218339024500037","DOIUrl":"https://doi.org/10.1142/s0218339024500037","url":null,"abstract":"","PeriodicalId":54872,"journal":{"name":"Journal of Biological Systems","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136210938","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}
Pub Date : 2023-10-11DOI: 10.1142/s0218339024500049
Uganta Yadav, A. K. Nayak, Sunita Gakkhar
{"title":"Filippov Type Prey-Predator System for selective Harvesting of Prey","authors":"Uganta Yadav, A. K. Nayak, Sunita Gakkhar","doi":"10.1142/s0218339024500049","DOIUrl":"https://doi.org/10.1142/s0218339024500049","url":null,"abstract":"","PeriodicalId":54872,"journal":{"name":"Journal of Biological Systems","volume":"101 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136098312","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}
Pub Date : 2023-10-11DOI: 10.1142/s0218339024500013
Jiajia Zhang, Yuanhua Qiao
{"title":"Bifurcation analysis of an SIR model with saturated incidence rate and strong Allee effect","authors":"Jiajia Zhang, Yuanhua Qiao","doi":"10.1142/s0218339024500013","DOIUrl":"https://doi.org/10.1142/s0218339024500013","url":null,"abstract":"","PeriodicalId":54872,"journal":{"name":"Journal of Biological Systems","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136210725","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}
Pub Date : 2023-07-26DOI: 10.1142/s0218339023500444
Amar Sha, J. Chattopadhyay
{"title":"Dynamical Study of Fear Effect in Prey Predator Model with Disease in Predator","authors":"Amar Sha, J. Chattopadhyay","doi":"10.1142/s0218339023500444","DOIUrl":"https://doi.org/10.1142/s0218339023500444","url":null,"abstract":"","PeriodicalId":54872,"journal":{"name":"Journal of Biological Systems","volume":" ","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43234019","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}
Pub Date : 2023-07-26DOI: 10.1142/s0218339023500432
Maitri Verma, Divakar Singh
{"title":"Dynamic Study of a Ratio-Dependent Predator-Prey Model with Strong Allee Effect and Nonlinear Harvesting","authors":"Maitri Verma, Divakar Singh","doi":"10.1142/s0218339023500432","DOIUrl":"https://doi.org/10.1142/s0218339023500432","url":null,"abstract":"","PeriodicalId":54872,"journal":{"name":"Journal of Biological Systems","volume":" ","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45136890","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}
Pub Date : 2023-07-26DOI: 10.1142/s0218339023500468
V. Bajiya, Jai Prakash Tripathi, R. K. Upadhyay
{"title":"Deciphering dynamics of COVID-19 outbreak in India: An age-structured model","authors":"V. Bajiya, Jai Prakash Tripathi, R. K. Upadhyay","doi":"10.1142/s0218339023500468","DOIUrl":"https://doi.org/10.1142/s0218339023500468","url":null,"abstract":"","PeriodicalId":54872,"journal":{"name":"Journal of Biological Systems","volume":" ","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43827919","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}
Pub Date : 2023-07-26DOI: 10.1142/s0218339023500456
K. Mokni, M. Ch-Chaoui
{"title":"Strong Allee Effect and Evolutionary Dynamics in a Single-Species Ricker Population Model","authors":"K. Mokni, M. Ch-Chaoui","doi":"10.1142/s0218339023500456","DOIUrl":"https://doi.org/10.1142/s0218339023500456","url":null,"abstract":"","PeriodicalId":54872,"journal":{"name":"Journal of Biological Systems","volume":" ","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43095935","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}
Pub Date : 2023-07-14DOI: 10.1142/s0218339023500420
Eymard Hernández-López, M. Núñez-López, Marcos A. Capistrán
In this work, we use continuous-time Markov jump processes and the corresponding zero fluctuation ordinary differential equations to analyze the relation between immune response and cancerous cells. We incorporate the Allee effect into our model to show that intrinsic stochasticity and nonlinearity may interact in elimination, equilibrium, and escape mechanisms in the low-count regime. Later, we consider the effect of immunotherapy through a pulse injection term and the Tau-Leaping algorithm. We show using the model state variables and parameters that the cancer cell population at its threshold level gets into the elimination phase for high antigenicity values.
{"title":"STOCHASTIC DYNAMICS BETWEEN THE IMMUNE SYSTEM AND CANCER CELLS WITH ALLEE EFFECT AND IMMUNOTHERAPY","authors":"Eymard Hernández-López, M. Núñez-López, Marcos A. Capistrán","doi":"10.1142/s0218339023500420","DOIUrl":"https://doi.org/10.1142/s0218339023500420","url":null,"abstract":"In this work, we use continuous-time Markov jump processes and the corresponding zero fluctuation ordinary differential equations to analyze the relation between immune response and cancerous cells. We incorporate the Allee effect into our model to show that intrinsic stochasticity and nonlinearity may interact in elimination, equilibrium, and escape mechanisms in the low-count regime. Later, we consider the effect of immunotherapy through a pulse injection term and the Tau-Leaping algorithm. We show using the model state variables and parameters that the cancer cell population at its threshold level gets into the elimination phase for high antigenicity values.","PeriodicalId":54872,"journal":{"name":"Journal of Biological Systems","volume":" ","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41948210","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}
Pub Date : 2023-06-19DOI: 10.1142/s0218339023500353
Shilpa Samaddar, M. Dhar, P. Bhattacharya, U. Ghosh
{"title":"Bifurcation analysis of a modified Leslie-Gower predator-prey model with hunting cooperation and favourable additional food for predator","authors":"Shilpa Samaddar, M. Dhar, P. Bhattacharya, U. Ghosh","doi":"10.1142/s0218339023500353","DOIUrl":"https://doi.org/10.1142/s0218339023500353","url":null,"abstract":"","PeriodicalId":54872,"journal":{"name":"Journal of Biological Systems","volume":" ","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46022251","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}
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