Dynamics of heterogeneous population due to spatially distributed parameters and an ideal free pair

被引:2
作者
Zahan, Ishrat [1 ]
Kamrujjaman, Md. [2 ]
Alim, Md. Abdul [1 ]
Mohebujjaman, Muhammad [3 ]
Khan, Taufiquar [4 ]
机构
[1] Bangladesh Univ Engn & Technol, Dept Math, Dhaka, Bangladesh
[2] Univ Dhaka, Dept Math, Dhaka, Bangladesh
[3] Texas A&M Int Univ, Dept Math & Phys, Laredo, TX USA
[4] Univ North Carolina Charlotte, Dept Math & Stat, Charlotte, NC USA
基金
美国国家科学基金会;
关键词
dispersal dynamics; competition; spatial functions; directed distribution; global stability; DIFFUSION; COMPETITION; DISPERSAL; EVOLUTION; MODELS;
D O I
10.3389/fams.2022.949585
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Population movements are necessary to survive the individuals in many cases and depend on available resources, good habitat, global warming, climate change, supporting the environment, and many other issues. This study explores the spatiotemporal effect on the dynamics of the reaction-diffusion model for two interacting populations in a heterogeneous habitat. Both species are assumed to compete for different fundamental resources, and the diffusion strategies of both organisms follow the resource-based diffusion toward a positive distribution function for a large variety of growth functions. Depending on the values of spatially distributed interspecific competition coefficients, the study is conducted for two cases: weak competition and strong competition, which do not perform earlier in the existing literature. The stability of global attractors is studied for different conditions of resource function and carrying capacity. We investigated that in the case of weak competition, coexistence is attainable, while strong competition leads to competitive exclusion. This is an emphasis on how resource-based diffusion in the niche impacts selection. When natural resources are in sharing, either competition or predator-prey interaction leads to competitive exclusion or coexistence of competing species. However, we concentrate on the situation in which the ideal free pair is achieved without imposing any other additional conditions on the model's parameters. The effectiveness of the model is accomplished by numerical computation for both one and two space dimension cases, which is very important for biological consideration.
引用
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页数:23
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共 24 条
[1]   Modeling and analysis of the dynamics of novel coronavirus (COVID-19) with Caputo fractional derivative [J].
Ali, Aatif ;
Alshammari, Fehaid Salem ;
Islam, Saeed ;
Khan, Muhammad Altaf ;
Ullah, Saif .
RESULTS IN PHYSICS, 2021, 20
[2]  
[Anonymous], 1992, Nonlinear Parabolic and Elliptic Equations, DOI DOI 10.1007/978-1-4615-3034-3
[3]   On several conjectures from evolution of dispersal [J].
Averill, Isabel ;
Lou, Yuan ;
Munther, Dan .
JOURNAL OF BIOLOGICAL DYNAMICS, 2012, 6 (02) :117-130
[4]   Competitive-cooperative models with various diffusion strategies [J].
Braverman, E. ;
Kamrujjaman, Md. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 72 (03) :653-662
[5]   Lotka systems with directed dispersal dynamics: Competition and influence of diffusion strategies [J].
Braverman, E. ;
Kamrujjaman, Md. .
MATHEMATICAL BIOSCIENCES, 2016, 279 :1-12
[6]   On the interplay of harvesting and various diffusion strategies for spatially heterogeneous populations [J].
Braverman, Elena ;
Ilmer, Ilia .
JOURNAL OF THEORETICAL BIOLOGY, 2019, 466 :106-118
[7]   Optimal harvesting of diffusive models in a nonhomogeneous environment [J].
Braverman, Elena ;
Braverman, Leonid .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) :E2173-E2181
[8]  
Cantrell R. S., 2003, Spatial ecology via reaction-diffusion equations
[9]   Approximating the ideal free distribution via reaction-diffusion-advection equations [J].
Cantrell, Robert Stephen ;
Cosner, Chris ;
Lou, Yuan .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2008, 245 (12) :3687-3703
[10]   EVOLUTION OF DISPERSAL AND THE IDEAL FREE DISTRIBUTION [J].
Cantrell, Robert Stephen ;
Cosner, Chris ;
Lou, Yuan .
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2010, 7 (01) :17-36