| Title:
|
Lotka-Volterra type predator-prey models: Comparison of hidden and explicit resources with a transmissible disease in the predator species (English) |
| Author:
|
Assis, Luciana |
| Author:
|
Banerjee, Malay |
| Author:
|
Cecconello, Moiseis |
| Author:
|
Venturino, Ezio |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
63 |
| Issue:
|
5 |
| Year:
|
2018 |
| Pages:
|
569-600 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The paper deals with two mathematical models of predator-prey type where a transmissible disease spreads among the predator species only. The proposed models are analyzed and compared in order to assess the influence of hidden and explicit alternative resource for predator. The analysis shows boundedness as well as local stability and transcritical bifurcations for equilibria of systems. Numerical simulations support our theoretical analysis. (English) |
| Keyword:
|
hidden prey |
| Keyword:
|
explicit prey |
| Keyword:
|
bifurcation |
| Keyword:
|
predator-prey model |
| MSC:
|
34A34 |
| MSC:
|
92D25 |
| MSC:
|
92D40 |
| idZBL:
|
Zbl 06986926 |
| idMR:
|
MR3870149 |
| DOI:
|
10.21136/AM.2018.0158-18 |
| . |
| Date available:
|
2018-10-23T06:59:26Z |
| Last updated:
|
2020-11-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147414 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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