Discrete-time models for gene frequencies and population densities in plant pathosystems

Nonlinear Analysis, Theory, Methods and Applications

Volumn 47, Issue 3, 2001, Pages 1489-1500

  Kesinger, Jacob C ^b   Allen, Linda J S ^b   Strauss, Richard E ^b  

^a TEXAS TECH UNIVERSITY   (United States)

^b NONE

Author keywords

Difference equations; Gene frequency; Plant pathosystem; SIS epidemic

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTATIONAL COMPLEXITY; COMPUTER SIMULATION; GENETIC ENGINEERING; MATHEMATICAL MODELS;

DISCRETE-TIME MODELS; GENE-FREQUENCY MODELS; PLANT PATHOSYSTEMS; STOCHASTIC DIFFERENCE EQUATIONS;

NONLINEAR EQUATIONS;

EID: 0035424987     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(01)00284-X     Document Type: Conference Paper

References (21)

1. Comparison of deterministic and stochastic SIS and SIR models in discrete time
2. The interplay of numerical and gene-frequency dynamics in host-pathogen systems
3. Selection pressures and plant pathogens: Robustness of the model
4. The complementary genic systems in flax and flax rust
5. Effects of mutation and random drift on Leonard's gene-for-gene coevolution model
6. Selection pressures and plant pathogens
7. Population genetics of gene-for-gene interactions between plant host resistance and pathogen virulence
8. Stability of equilibria in a gene-for-gene coevolution model of host-parasite interactions
9. Modelling gene frequency dynamics
10. Selection pressures and the coevolution of host-pathogen systems
11. In response to 'selection pressures and plant pathogens: Stability of equilibria.'
12. Selection pressures and plant pathogens: Stability of equilibria
13. Stability of a gene-for-gene coevolution system under constant perturbations
14. Two properties of a gene-for-gene coevolution system under human perturbations
15. Model frameworks for plant-pathogen interactions
16. Gene-for-gene coevolution between plants and parasites